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Finding the Third Proportional to 463,470.75 and 620,758.13

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Solution

The third proportional to 463,470.75 and 620,758.13 is: 831,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,470.75 : 620,758.13 = 620,758.13 : x
  2. Step 2: Convert to fraction form
    463,470.75/620,758.13 = 620,758.13/x
  3. Step 3: Cross multiply
    463,470.75x = 620,758.13 × 620,758.13
  4. Step 4: Simplify right side
    463,470.75x = 385,340,649,753.52
  5. Step 5: Solve for x
    x = 385,340,649,753.52/463,470.75
  6. Step 6: Final answer
    x = 831,423.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.