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Finding the Third Proportional to 349,062.75 and 540,442.13

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Solution

The third proportional to 349,062.75 and 540,442.13 is: 836,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,062.75 : 540,442.13 = 540,442.13 : x
  2. Step 2: Convert to fraction form
    349,062.75/540,442.13 = 540,442.13/x
  3. Step 3: Cross multiply
    349,062.75x = 540,442.13 × 540,442.13
  4. Step 4: Simplify right side
    349,062.75x = 292,077,690,474.52
  5. Step 5: Solve for x
    x = 292,077,690,474.52/349,062.75
  6. Step 6: Final answer
    x = 836,748.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.