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Finding the Third Proportional to 431,635.50 and 1,008,159.75

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Solution

The third proportional to 431,635.50 and 1,008,159.75 is: 2,354,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,635.50 : 1,008,159.75 = 1,008,159.75 : x
  2. Step 2: Convert to fraction form
    431,635.50/1,008,159.75 = 1,008,159.75/x
  3. Step 3: Cross multiply
    431,635.50x = 1,008,159.75 × 1,008,159.75
  4. Step 4: Simplify right side
    431,635.50x = 1,016,386,081,520.06
  5. Step 5: Solve for x
    x = 1,016,386,081,520.06/431,635.50
  6. Step 6: Final answer
    x = 2,354,732.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.