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Finding the Third Proportional to 398,180.63 and 866,344.88

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Solution

The third proportional to 398,180.63 and 866,344.88 is: 1,884,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,180.63 : 866,344.88 = 866,344.88 : x
  2. Step 2: Convert to fraction form
    398,180.63/866,344.88 = 866,344.88/x
  3. Step 3: Cross multiply
    398,180.63x = 866,344.88 × 866,344.88
  4. Step 4: Simplify right side
    398,180.63x = 750,553,442,438.77
  5. Step 5: Solve for x
    x = 750,553,442,438.77/398,180.63
  6. Step 6: Final answer
    x = 1,884,957.22

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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.