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Finding the Third Proportional to 370,025 and 808,531

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Solution

The third proportional to 370,025 and 808,531 is: 1,766,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,025 : 808,531 = 808,531 : x
  2. Step 2: Convert to fraction form
    370,025/808,531 = 808,531/x
  3. Step 3: Cross multiply
    370,025x = 808,531 × 808,531
  4. Step 4: Simplify right side
    370,025x = 653,722,377,961
  5. Step 5: Solve for x
    x = 653,722,377,961/370,025
  6. Step 6: Final answer
    x = 1,766,697.87

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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.