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Finding the Third Proportional to 729,688.50 and 1,567,269

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Solution

The third proportional to 729,688.50 and 1,567,269 is: 3,366,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,688.50 : 1,567,269 = 1,567,269 : x
  2. Step 2: Convert to fraction form
    729,688.50/1,567,269 = 1,567,269/x
  3. Step 3: Cross multiply
    729,688.50x = 1,567,269 × 1,567,269
  4. Step 4: Simplify right side
    729,688.50x = 2,456,332,118,361
  5. Step 5: Solve for x
    x = 2,456,332,118,361/729,688.50
  6. Step 6: Final answer
    x = 3,366,274.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.