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Finding the Third Proportional to 377,510 and 814,060

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Solution

The third proportional to 377,510 and 814,060 is: 1,755,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,510 : 814,060 = 814,060 : x
  2. Step 2: Convert to fraction form
    377,510/814,060 = 814,060/x
  3. Step 3: Cross multiply
    377,510x = 814,060 × 814,060
  4. Step 4: Simplify right side
    377,510x = 662,693,683,600
  5. Step 5: Solve for x
    x = 662,693,683,600/377,510
  6. Step 6: Final answer
    x = 1,755,433.46

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