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Finding the Third Proportional to 461,001 and 621,463

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Solution

The third proportional to 461,001 and 621,463 is: 837,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,001 : 621,463 = 621,463 : x
  2. Step 2: Convert to fraction form
    461,001/621,463 = 621,463/x
  3. Step 3: Cross multiply
    461,001x = 621,463 × 621,463
  4. Step 4: Simplify right side
    461,001x = 386,216,260,369
  5. Step 5: Solve for x
    x = 386,216,260,369/461,001
  6. Step 6: Final answer
    x = 837,777.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.