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Finding the Third Proportional to 235,050 and 516,756

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Solution

The third proportional to 235,050 and 516,756 is: 1,136,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,050 : 516,756 = 516,756 : x
  2. Step 2: Convert to fraction form
    235,050/516,756 = 516,756/x
  3. Step 3: Cross multiply
    235,050x = 516,756 × 516,756
  4. Step 4: Simplify right side
    235,050x = 267,036,763,536
  5. Step 5: Solve for x
    x = 267,036,763,536/235,050
  6. Step 6: Final answer
    x = 1,136,084.93

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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.