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Finding the Third Proportional to 453,951 and 702,459

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Solution

The third proportional to 453,951 and 702,459 is: 1,087,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,951 : 702,459 = 702,459 : x
  2. Step 2: Convert to fraction form
    453,951/702,459 = 702,459/x
  3. Step 3: Cross multiply
    453,951x = 702,459 × 702,459
  4. Step 4: Simplify right side
    453,951x = 493,448,646,681
  5. Step 5: Solve for x
    x = 493,448,646,681/453,951
  6. Step 6: Final answer
    x = 1,087,008.61

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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.