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Finding the Third Proportional to 468,415 and 707,725

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Solution

The third proportional to 468,415 and 707,725 is: 1,069,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,415 : 707,725 = 707,725 : x
  2. Step 2: Convert to fraction form
    468,415/707,725 = 707,725/x
  3. Step 3: Cross multiply
    468,415x = 707,725 × 707,725
  4. Step 4: Simplify right side
    468,415x = 500,874,675,625
  5. Step 5: Solve for x
    x = 500,874,675,625/468,415
  6. Step 6: Final answer
    x = 1,069,296.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.