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Finding the Third Proportional to 527,340.38 and 866,462.06

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Solution

The third proportional to 527,340.38 and 866,462.06 is: 1,423,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,340.38 : 866,462.06 = 866,462.06 : x
  2. Step 2: Convert to fraction form
    527,340.38/866,462.06 = 866,462.06/x
  3. Step 3: Cross multiply
    527,340.38x = 866,462.06 × 866,462.06
  4. Step 4: Simplify right side
    527,340.38x = 750,756,505,751.75
  5. Step 5: Solve for x
    x = 750,756,505,751.75/527,340.38
  6. Step 6: Final answer
    x = 1,423,665.89

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.