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Finding the Third Proportional to 261,236.25 and 390,841.88

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Solution

The third proportional to 261,236.25 and 390,841.88 is: 584,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,236.25 : 390,841.88 = 390,841.88 : x
  2. Step 2: Convert to fraction form
    261,236.25/390,841.88 = 390,841.88/x
  3. Step 3: Cross multiply
    261,236.25x = 390,841.88 × 390,841.88
  4. Step 4: Simplify right side
    261,236.25x = 152,757,371,253.52
  5. Step 5: Solve for x
    x = 152,757,371,253.52/261,236.25
  6. Step 6: Final answer
    x = 584,747.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.