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Finding the Third Proportional to 249,077.85 and 523,251.14

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Solution

The third proportional to 249,077.85 and 523,251.14 is: 1,099,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,077.85 : 523,251.14 = 523,251.14 : x
  2. Step 2: Convert to fraction form
    249,077.85/523,251.14 = 523,251.14/x
  3. Step 3: Cross multiply
    249,077.85x = 523,251.14 × 523,251.14
  4. Step 4: Simplify right side
    249,077.85x = 273,791,756,165.36
  5. Step 5: Solve for x
    x = 273,791,756,165.36/249,077.85
  6. Step 6: Final answer
    x = 1,099,221.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.