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Finding the Third Proportional to 600,237.84 and 915,601.22

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Solution

The third proportional to 600,237.84 and 915,601.22 is: 1,396,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,237.84 : 915,601.22 = 915,601.22 : x
  2. Step 2: Convert to fraction form
    600,237.84/915,601.22 = 915,601.22/x
  3. Step 3: Cross multiply
    600,237.84x = 915,601.22 × 915,601.22
  4. Step 4: Simplify right side
    600,237.84x = 838,325,591,776.49
  5. Step 5: Solve for x
    x = 838,325,591,776.49/600,237.84
  6. Step 6: Final answer
    x = 1,396,655.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.