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Finding the Third Proportional to 338,857.17 and 712,660.78

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Solution

The third proportional to 338,857.17 and 712,660.78 is: 1,498,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,857.17 : 712,660.78 = 712,660.78 : x
  2. Step 2: Convert to fraction form
    338,857.17/712,660.78 = 712,660.78/x
  3. Step 3: Cross multiply
    338,857.17x = 712,660.78 × 712,660.78
  4. Step 4: Simplify right side
    338,857.17x = 507,885,389,131.86
  5. Step 5: Solve for x
    x = 507,885,389,131.86/338,857.17
  6. Step 6: Final answer
    x = 1,498,818.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.