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Finding the Third Proportional to 463,337 and 739,971

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Solution

The third proportional to 463,337 and 739,971 is: 1,181,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,337 : 739,971 = 739,971 : x
  2. Step 2: Convert to fraction form
    463,337/739,971 = 739,971/x
  3. Step 3: Cross multiply
    463,337x = 739,971 × 739,971
  4. Step 4: Simplify right side
    463,337x = 547,557,080,841
  5. Step 5: Solve for x
    x = 547,557,080,841/463,337
  6. Step 6: Final answer
    x = 1,181,768.52

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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.