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Finding the Third Proportional to 461,004.75 and 621,469.13

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Solution

The third proportional to 461,004.75 and 621,469.13 is: 837,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,004.75 : 621,469.13 = 621,469.13 : x
  2. Step 2: Convert to fraction form
    461,004.75/621,469.13 = 621,469.13/x
  3. Step 3: Cross multiply
    461,004.75x = 621,469.13 × 621,469.13
  4. Step 4: Simplify right side
    461,004.75x = 386,223,873,328.27
  5. Step 5: Solve for x
    x = 386,223,873,328.27/461,004.75
  6. Step 6: Final answer
    x = 837,787.19

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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.