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Finding the Third Proportional to 388,632 and 571,834

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Solution

The third proportional to 388,632 and 571,834 is: 841,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,632 : 571,834 = 571,834 : x
  2. Step 2: Convert to fraction form
    388,632/571,834 = 571,834/x
  3. Step 3: Cross multiply
    388,632x = 571,834 × 571,834
  4. Step 4: Simplify right side
    388,632x = 326,994,123,556
  5. Step 5: Solve for x
    x = 326,994,123,556/388,632
  6. Step 6: Final answer
    x = 841,397.84

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