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Finding the Third Proportional to 463,339 and 739,974

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Solution

The third proportional to 463,339 and 739,974 is: 1,181,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,339 : 739,974 = 739,974 : x
  2. Step 2: Convert to fraction form
    463,339/739,974 = 739,974/x
  3. Step 3: Cross multiply
    463,339x = 739,974 × 739,974
  4. Step 4: Simplify right side
    463,339x = 547,561,520,676
  5. Step 5: Solve for x
    x = 547,561,520,676/463,339
  6. Step 6: Final answer
    x = 1,181,773.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.