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Finding the Third Proportional to 349,344 and 748,494

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Solution

The third proportional to 349,344 and 748,494 is: 1,603,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,344 : 748,494 = 748,494 : x
  2. Step 2: Convert to fraction form
    349,344/748,494 = 748,494/x
  3. Step 3: Cross multiply
    349,344x = 748,494 × 748,494
  4. Step 4: Simplify right side
    349,344x = 560,243,268,036
  5. Step 5: Solve for x
    x = 560,243,268,036/349,344
  6. Step 6: Final answer
    x = 1,603,700.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.