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Finding the Third Proportional to 247,211.37 and 524,773.69

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Solution

The third proportional to 247,211.37 and 524,773.69 is: 1,113,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,211.37 : 524,773.69 = 524,773.69 : x
  2. Step 2: Convert to fraction form
    247,211.37/524,773.69 = 524,773.69/x
  3. Step 3: Cross multiply
    247,211.37x = 524,773.69 × 524,773.69
  4. Step 4: Simplify right side
    247,211.37x = 275,387,423,092.35
  5. Step 5: Solve for x
    x = 275,387,423,092.35/247,211.37
  6. Step 6: Final answer
    x = 1,113,975.57

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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.