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Finding the Third Proportional to 387,975 and 598,569

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Solution

The third proportional to 387,975 and 598,569 is: 923,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,975 : 598,569 = 598,569 : x
  2. Step 2: Convert to fraction form
    387,975/598,569 = 598,569/x
  3. Step 3: Cross multiply
    387,975x = 598,569 × 598,569
  4. Step 4: Simplify right side
    387,975x = 358,284,847,761
  5. Step 5: Solve for x
    x = 358,284,847,761/387,975
  6. Step 6: Final answer
    x = 923,474.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.