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Finding the Third Proportional to 377,508 and 814,056

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Solution

The third proportional to 377,508 and 814,056 is: 1,755,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,508 : 814,056 = 814,056 : x
  2. Step 2: Convert to fraction form
    377,508/814,056 = 814,056/x
  3. Step 3: Cross multiply
    377,508x = 814,056 × 814,056
  4. Step 4: Simplify right side
    377,508x = 662,687,171,136
  5. Step 5: Solve for x
    x = 662,687,171,136/377,508
  6. Step 6: Final answer
    x = 1,755,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.