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Finding the Third Proportional to 374,908.50 and 812,115

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Solution

The third proportional to 374,908.50 and 812,115 is: 1,759,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,908.50 : 812,115 = 812,115 : x
  2. Step 2: Convert to fraction form
    374,908.50/812,115 = 812,115/x
  3. Step 3: Cross multiply
    374,908.50x = 812,115 × 812,115
  4. Step 4: Simplify right side
    374,908.50x = 659,530,773,225
  5. Step 5: Solve for x
    x = 659,530,773,225/374,908.50
  6. Step 6: Final answer
    x = 1,759,177.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.