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Finding the Third Proportional to 327,246.75 and 506,422.13

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Solution

The third proportional to 327,246.75 and 506,422.13 is: 783,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,246.75 : 506,422.13 = 506,422.13 : x
  2. Step 2: Convert to fraction form
    327,246.75/506,422.13 = 506,422.13/x
  3. Step 3: Cross multiply
    327,246.75x = 506,422.13 × 506,422.13
  4. Step 4: Simplify right side
    327,246.75x = 256,463,368,689.52
  5. Step 5: Solve for x
    x = 256,463,368,689.52/327,246.75
  6. Step 6: Final answer
    x = 783,700.28

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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.