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Finding the Third Proportional to 456,435 and 709,542

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Solution

The third proportional to 456,435 and 709,542 is: 1,103,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,435 : 709,542 = 709,542 : x
  2. Step 2: Convert to fraction form
    456,435/709,542 = 709,542/x
  3. Step 3: Cross multiply
    456,435x = 709,542 × 709,542
  4. Step 4: Simplify right side
    456,435x = 503,449,849,764
  5. Step 5: Solve for x
    x = 503,449,849,764/456,435
  6. Step 6: Final answer
    x = 1,103,004.48

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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.