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Finding the Third Proportional to 417,724.50 and 913,695

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Solution

The third proportional to 417,724.50 and 913,695 is: 1,998,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,724.50 : 913,695 = 913,695 : x
  2. Step 2: Convert to fraction form
    417,724.50/913,695 = 913,695/x
  3. Step 3: Cross multiply
    417,724.50x = 913,695 × 913,695
  4. Step 4: Simplify right side
    417,724.50x = 834,838,553,025
  5. Step 5: Solve for x
    x = 834,838,553,025/417,724.50
  6. Step 6: Final answer
    x = 1,998,538.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.