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Finding the Third Proportional to 727,510.50 and 1,101,331.13

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Solution

The third proportional to 727,510.50 and 1,101,331.13 is: 1,667,234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,510.50 : 1,101,331.13 = 1,101,331.13 : x
  2. Step 2: Convert to fraction form
    727,510.50/1,101,331.13 = 1,101,331.13/x
  3. Step 3: Cross multiply
    727,510.50x = 1,101,331.13 × 1,101,331.13
  4. Step 4: Simplify right side
    727,510.50x = 1,212,930,246,893.77
  5. Step 5: Solve for x
    x = 1,212,930,246,893.77/727,510.50
  6. Step 6: Final answer
    x = 1,667,234.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.