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Finding the Third Proportional to 581,472 and 853,070

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Solution

The third proportional to 581,472 and 853,070 is: 1,251,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,472 : 853,070 = 853,070 : x
  2. Step 2: Convert to fraction form
    581,472/853,070 = 853,070/x
  3. Step 3: Cross multiply
    581,472x = 853,070 × 853,070
  4. Step 4: Simplify right side
    581,472x = 727,728,424,900
  5. Step 5: Solve for x
    x = 727,728,424,900/581,472
  6. Step 6: Final answer
    x = 1,251,527.89

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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.