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Finding the Third Proportional to 502,354 and 702,670

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Solution

The third proportional to 502,354 and 702,670 is: 982,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,354 : 702,670 = 702,670 : x
  2. Step 2: Convert to fraction form
    502,354/702,670 = 702,670/x
  3. Step 3: Cross multiply
    502,354x = 702,670 × 702,670
  4. Step 4: Simplify right side
    502,354x = 493,745,128,900
  5. Step 5: Solve for x
    x = 493,745,128,900/502,354
  6. Step 6: Final answer
    x = 982,862.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.