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Finding the Third Proportional to 398,178.56 and 866,341.13

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Solution

The third proportional to 398,178.56 and 866,341.13 is: 1,884,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,178.56 : 866,341.13 = 866,341.13 : x
  2. Step 2: Convert to fraction form
    398,178.56/866,341.13 = 866,341.13/x
  3. Step 3: Cross multiply
    398,178.56x = 866,341.13 × 866,341.13
  4. Step 4: Simplify right side
    398,178.56x = 750,546,944,866.27
  5. Step 5: Solve for x
    x = 750,546,944,866.27/398,178.56
  6. Step 6: Final answer
    x = 1,884,950.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.