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Finding the Third Proportional to 431,562.50 and 948,781

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Solution

The third proportional to 431,562.50 and 948,781 is: 2,085,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,562.50 : 948,781 = 948,781 : x
  2. Step 2: Convert to fraction form
    431,562.50/948,781 = 948,781/x
  3. Step 3: Cross multiply
    431,562.50x = 948,781 × 948,781
  4. Step 4: Simplify right side
    431,562.50x = 900,185,385,961
  5. Step 5: Solve for x
    x = 900,185,385,961/431,562.50
  6. Step 6: Final answer
    x = 2,085,874.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.