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Finding the Third Proportional to 247,782.38 and 524,542.50

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Solution

The third proportional to 247,782.38 and 524,542.50 is: 1,110,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,782.38 : 524,542.50 = 524,542.50 : x
  2. Step 2: Convert to fraction form
    247,782.38/524,542.50 = 524,542.50/x
  3. Step 3: Cross multiply
    247,782.38x = 524,542.50 × 524,542.50
  4. Step 4: Simplify right side
    247,782.38x = 275,144,834,306.25
  5. Step 5: Solve for x
    x = 275,144,834,306.25/247,782.38
  6. Step 6: Final answer
    x = 1,110,429.40

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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.