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Finding the Third Proportional to 463,350 and 739,989

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Solution

The third proportional to 463,350 and 739,989 is: 1,181,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,350 : 739,989 = 739,989 : x
  2. Step 2: Convert to fraction form
    463,350/739,989 = 739,989/x
  3. Step 3: Cross multiply
    463,350x = 739,989 × 739,989
  4. Step 4: Simplify right side
    463,350x = 547,583,720,121
  5. Step 5: Solve for x
    x = 547,583,720,121/463,350
  6. Step 6: Final answer
    x = 1,181,792.86

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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.