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Finding the Third Proportional to 252,092 and 390,533

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Solution

The third proportional to 252,092 and 390,533 is: 605,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,092 : 390,533 = 390,533 : x
  2. Step 2: Convert to fraction form
    252,092/390,533 = 390,533/x
  3. Step 3: Cross multiply
    252,092x = 390,533 × 390,533
  4. Step 4: Simplify right side
    252,092x = 152,516,024,089
  5. Step 5: Solve for x
    x = 152,516,024,089/252,092
  6. Step 6: Final answer
    x = 605,001.44

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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.