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Finding the Third Proportional to 461,002 and 621,465

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Solution

The third proportional to 461,002 and 621,465 is: 837,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,002 : 621,465 = 621,465 : x
  2. Step 2: Convert to fraction form
    461,002/621,465 = 621,465/x
  3. Step 3: Cross multiply
    461,002x = 621,465 × 621,465
  4. Step 4: Simplify right side
    461,002x = 386,218,746,225
  5. Step 5: Solve for x
    x = 386,218,746,225/461,002
  6. Step 6: Final answer
    x = 837,781.06

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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.