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Finding the Third Proportional to 262,472.06 and 393,913.13

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Solution

The third proportional to 262,472.06 and 393,913.13 is: 591,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,472.06 : 393,913.13 = 393,913.13 : x
  2. Step 2: Convert to fraction form
    262,472.06/393,913.13 = 393,913.13/x
  3. Step 3: Cross multiply
    262,472.06x = 393,913.13 × 393,913.13
  4. Step 4: Simplify right side
    262,472.06x = 155,167,550,047.27
  5. Step 5: Solve for x
    x = 155,167,550,047.27/262,472.06
  6. Step 6: Final answer
    x = 591,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.