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Finding the Third Proportional to 238,522 and 322,791

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Solution

The third proportional to 238,522 and 322,791 is: 436,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,522 : 322,791 = 322,791 : x
  2. Step 2: Convert to fraction form
    238,522/322,791 = 322,791/x
  3. Step 3: Cross multiply
    238,522x = 322,791 × 322,791
  4. Step 4: Simplify right side
    238,522x = 104,194,029,681
  5. Step 5: Solve for x
    x = 104,194,029,681/238,522
  6. Step 6: Final answer
    x = 436,831.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.