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Finding the Third Proportional to 261,708 and 392,550.75

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Solution

The third proportional to 261,708 and 392,550.75 is: 588,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,708 : 392,550.75 = 392,550.75 : x
  2. Step 2: Convert to fraction form
    261,708/392,550.75 = 392,550.75/x
  3. Step 3: Cross multiply
    261,708x = 392,550.75 × 392,550.75
  4. Step 4: Simplify right side
    261,708x = 154,096,091,325.56
  5. Step 5: Solve for x
    x = 154,096,091,325.56/261,708
  6. Step 6: Final answer
    x = 588,809.25

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Why These Related Problems?

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