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Finding the Third Proportional to 732,270.75 and 1,500,216.94

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Solution

The third proportional to 732,270.75 and 1,500,216.94 is: 3,073,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,270.75 : 1,500,216.94 = 1,500,216.94 : x
  2. Step 2: Convert to fraction form
    732,270.75/1,500,216.94 = 1,500,216.94/x
  3. Step 3: Cross multiply
    732,270.75x = 1,500,216.94 × 1,500,216.94
  4. Step 4: Simplify right side
    732,270.75x = 2,250,650,859,561.88
  5. Step 5: Solve for x
    x = 2,250,650,859,561.88/732,270.75
  6. Step 6: Final answer
    x = 3,073,522.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.