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Finding the Third Proportional to 261,613.75 and 392,420.75

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Solution

The third proportional to 261,613.75 and 392,420.75 is: 588,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,613.75 : 392,420.75 = 392,420.75 : x
  2. Step 2: Convert to fraction form
    261,613.75/392,420.75 = 392,420.75/x
  3. Step 3: Cross multiply
    261,613.75x = 392,420.75 × 392,420.75
  4. Step 4: Simplify right side
    261,613.75x = 153,994,045,030.56
  5. Step 5: Solve for x
    x = 153,994,045,030.56/261,613.75
  6. Step 6: Final answer
    x = 588,631.31

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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.