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Finding the Third Proportional to 514,084 and 800,374

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Solution

The third proportional to 514,084 and 800,374 is: 1,246,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,084 : 800,374 = 800,374 : x
  2. Step 2: Convert to fraction form
    514,084/800,374 = 800,374/x
  3. Step 3: Cross multiply
    514,084x = 800,374 × 800,374
  4. Step 4: Simplify right side
    514,084x = 640,598,539,876
  5. Step 5: Solve for x
    x = 640,598,539,876/514,084
  6. Step 6: Final answer
    x = 1,246,097.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.