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Finding the Third Proportional to 616,761 and 705,334.50

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Solution

The third proportional to 616,761 and 705,334.50 is: 806,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,761 : 705,334.50 = 705,334.50 : x
  2. Step 2: Convert to fraction form
    616,761/705,334.50 = 705,334.50/x
  3. Step 3: Cross multiply
    616,761x = 705,334.50 × 705,334.50
  4. Step 4: Simplify right side
    616,761x = 497,496,756,890.25
  5. Step 5: Solve for x
    x = 497,496,756,890.25/616,761
  6. Step 6: Final answer
    x = 806,628.11

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.