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Finding the Third Proportional to 377,496 and 814,032

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Solution

The third proportional to 377,496 and 814,032 is: 1,755,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,496 : 814,032 = 814,032 : x
  2. Step 2: Convert to fraction form
    377,496/814,032 = 814,032/x
  3. Step 3: Cross multiply
    377,496x = 814,032 × 814,032
  4. Step 4: Simplify right side
    377,496x = 662,648,097,024
  5. Step 5: Solve for x
    x = 662,648,097,024/377,496
  6. Step 6: Final answer
    x = 1,755,377.80

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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.