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Finding the Third Proportional to 386,651 and 591,533

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Solution

The third proportional to 386,651 and 591,533 is: 904,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,651 : 591,533 = 591,533 : x
  2. Step 2: Convert to fraction form
    386,651/591,533 = 591,533/x
  3. Step 3: Cross multiply
    386,651x = 591,533 × 591,533
  4. Step 4: Simplify right side
    386,651x = 349,911,290,089
  5. Step 5: Solve for x
    x = 349,911,290,089/386,651
  6. Step 6: Final answer
    x = 904,979.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.