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Finding the Third Proportional to 527,214.75 and 1,134,528.75

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Solution

The third proportional to 527,214.75 and 1,134,528.75 is: 2,441,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,214.75 : 1,134,528.75 = 1,134,528.75 : x
  2. Step 2: Convert to fraction form
    527,214.75/1,134,528.75 = 1,134,528.75/x
  3. Step 3: Cross multiply
    527,214.75x = 1,134,528.75 × 1,134,528.75
  4. Step 4: Simplify right side
    527,214.75x = 1,287,155,484,576.56
  5. Step 5: Solve for x
    x = 1,287,155,484,576.56/527,214.75
  6. Step 6: Final answer
    x = 2,441,425.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.