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Finding the Third Proportional to 384,469 and 591,762

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Solution

The third proportional to 384,469 and 591,762 is: 910,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,469 : 591,762 = 591,762 : x
  2. Step 2: Convert to fraction form
    384,469/591,762 = 591,762/x
  3. Step 3: Cross multiply
    384,469x = 591,762 × 591,762
  4. Step 4: Simplify right side
    384,469x = 350,182,264,644
  5. Step 5: Solve for x
    x = 350,182,264,644/384,469
  6. Step 6: Final answer
    x = 910,820.55

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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.