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Finding the Third Proportional to 342,492.75 and 739,864.13

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Solution

The third proportional to 342,492.75 and 739,864.13 is: 1,598,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,492.75 : 739,864.13 = 739,864.13 : x
  2. Step 2: Convert to fraction form
    342,492.75/739,864.13 = 739,864.13/x
  3. Step 3: Cross multiply
    342,492.75x = 739,864.13 × 739,864.13
  4. Step 4: Simplify right side
    342,492.75x = 547,398,923,462.02
  5. Step 5: Solve for x
    x = 547,398,923,462.02/342,492.75
  6. Step 6: Final answer
    x = 1,598,278.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.