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Finding the Third Proportional to 635,280.75 and 954,334.13

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Solution

The third proportional to 635,280.75 and 954,334.13 is: 1,433,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,280.75 : 954,334.13 = 954,334.13 : x
  2. Step 2: Convert to fraction form
    635,280.75/954,334.13 = 954,334.13/x
  3. Step 3: Cross multiply
    635,280.75x = 954,334.13 × 954,334.13
  4. Step 4: Simplify right side
    635,280.75x = 910,753,622,139.52
  5. Step 5: Solve for x
    x = 910,753,622,139.52/635,280.75
  6. Step 6: Final answer
    x = 1,433,623.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.