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Finding the Third Proportional to 631,165.50 and 954,301.50

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Solution

The third proportional to 631,165.50 and 954,301.50 is: 1,442,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,165.50 : 954,301.50 = 954,301.50 : x
  2. Step 2: Convert to fraction form
    631,165.50/954,301.50 = 954,301.50/x
  3. Step 3: Cross multiply
    631,165.50x = 954,301.50 × 954,301.50
  4. Step 4: Simplify right side
    631,165.50x = 910,691,352,902.25
  5. Step 5: Solve for x
    x = 910,691,352,902.25/631,165.50
  6. Step 6: Final answer
    x = 1,442,872.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.