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Finding the Third Proportional to 282,373.31 and 605,692.13

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Solution

The third proportional to 282,373.31 and 605,692.13 is: 1,299,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,373.31 : 605,692.13 = 605,692.13 : x
  2. Step 2: Convert to fraction form
    282,373.31/605,692.13 = 605,692.13/x
  3. Step 3: Cross multiply
    282,373.31x = 605,692.13 × 605,692.13
  4. Step 4: Simplify right side
    282,373.31x = 366,862,950,287.02
  5. Step 5: Solve for x
    x = 366,862,950,287.02/282,373.31
  6. Step 6: Final answer
    x = 1,299,212.55

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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.