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Finding the Third Proportional to 309,585.38 and 632,292.75

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Solution

The third proportional to 309,585.38 and 632,292.75 is: 1,291,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,585.38 : 632,292.75 = 632,292.75 : x
  2. Step 2: Convert to fraction form
    309,585.38/632,292.75 = 632,292.75/x
  3. Step 3: Cross multiply
    309,585.38x = 632,292.75 × 632,292.75
  4. Step 4: Simplify right side
    309,585.38x = 399,794,121,702.56
  5. Step 5: Solve for x
    x = 399,794,121,702.56/309,585.38
  6. Step 6: Final answer
    x = 1,291,385.69

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.