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Finding the Third Proportional to 235,084 and 516,818

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Solution

The third proportional to 235,084 and 516,818 is: 1,136,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,084 : 516,818 = 516,818 : x
  2. Step 2: Convert to fraction form
    235,084/516,818 = 516,818/x
  3. Step 3: Cross multiply
    235,084x = 516,818 × 516,818
  4. Step 4: Simplify right side
    235,084x = 267,100,845,124
  5. Step 5: Solve for x
    x = 267,100,845,124/235,084
  6. Step 6: Final answer
    x = 1,136,193.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.