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Finding the Third Proportional to 261,615.75 and 392,423.75

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Solution

The third proportional to 261,615.75 and 392,423.75 is: 588,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,615.75 : 392,423.75 = 392,423.75 : x
  2. Step 2: Convert to fraction form
    261,615.75/392,423.75 = 392,423.75/x
  3. Step 3: Cross multiply
    261,615.75x = 392,423.75 × 392,423.75
  4. Step 4: Simplify right side
    261,615.75x = 153,996,399,564.06
  5. Step 5: Solve for x
    x = 153,996,399,564.06/261,615.75
  6. Step 6: Final answer
    x = 588,635.81

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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.