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Finding the Third Proportional to 357,534 and 524,613

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Solution

The third proportional to 357,534 and 524,613 is: 769,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,534 : 524,613 = 524,613 : x
  2. Step 2: Convert to fraction form
    357,534/524,613 = 524,613/x
  3. Step 3: Cross multiply
    357,534x = 524,613 × 524,613
  4. Step 4: Simplify right side
    357,534x = 275,218,799,769
  5. Step 5: Solve for x
    x = 275,218,799,769/357,534
  6. Step 6: Final answer
    x = 769,769.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.