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Finding the Third Proportional to 247,247.44 and 524,854.69

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Solution

The third proportional to 247,247.44 and 524,854.69 is: 1,114,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,247.44 : 524,854.69 = 524,854.69 : x
  2. Step 2: Convert to fraction form
    247,247.44/524,854.69 = 524,854.69/x
  3. Step 3: Cross multiply
    247,247.44x = 524,854.69 × 524,854.69
  4. Step 4: Simplify right side
    247,247.44x = 275,472,442,990.72
  5. Step 5: Solve for x
    x = 275,472,442,990.72/247,247.44
  6. Step 6: Final answer
    x = 1,114,156.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.