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Finding the Third Proportional to 463,347 and 739,984

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Solution

The third proportional to 463,347 and 739,984 is: 1,181,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,347 : 739,984 = 739,984 : x
  2. Step 2: Convert to fraction form
    463,347/739,984 = 739,984/x
  3. Step 3: Cross multiply
    463,347x = 739,984 × 739,984
  4. Step 4: Simplify right side
    463,347x = 547,576,320,256
  5. Step 5: Solve for x
    x = 547,576,320,256/463,347
  6. Step 6: Final answer
    x = 1,181,784.54

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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.