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Finding the Third Proportional to 456,551 and 709,694

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Solution

The third proportional to 456,551 and 709,694 is: 1,103,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,551 : 709,694 = 709,694 : x
  2. Step 2: Convert to fraction form
    456,551/709,694 = 709,694/x
  3. Step 3: Cross multiply
    456,551x = 709,694 × 709,694
  4. Step 4: Simplify right side
    456,551x = 503,665,573,636
  5. Step 5: Solve for x
    x = 503,665,573,636/456,551
  6. Step 6: Final answer
    x = 1,103,196.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.