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Finding the Third Proportional to 468,955,267.50 and 689,792,575.50

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Solution

The third proportional to 468,955,267.50 and 689,792,575.50 is: 1,014,625,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,955,267.50 : 689,792,575.50 = 689,792,575.50 : x
  2. Step 2: Convert to fraction form
    468,955,267.50/689,792,575.50 = 689,792,575.50/x
  3. Step 3: Cross multiply
    468,955,267.50x = 689,792,575.50 × 689,792,575.50
  4. Step 4: Simplify right side
    468,955,267.50x = 475,813,797,214,923,200
  5. Step 5: Solve for x
    x = 475,813,797,214,923,200/468,955,267.50
  6. Step 6: Final answer
    x = 1,014,625,125.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.