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Finding the Third Proportional to 337,247.50 and 722,572

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Solution

The third proportional to 337,247.50 and 722,572 is: 1,548,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,247.50 : 722,572 = 722,572 : x
  2. Step 2: Convert to fraction form
    337,247.50/722,572 = 722,572/x
  3. Step 3: Cross multiply
    337,247.50x = 722,572 × 722,572
  4. Step 4: Simplify right side
    337,247.50x = 522,110,295,184
  5. Step 5: Solve for x
    x = 522,110,295,184/337,247.50
  6. Step 6: Final answer
    x = 1,548,151.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.