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Finding the Third Proportional to 373,695.50 and 580,233.75

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Solution

The third proportional to 373,695.50 and 580,233.75 is: 900,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,695.50 : 580,233.75 = 580,233.75 : x
  2. Step 2: Convert to fraction form
    373,695.50/580,233.75 = 580,233.75/x
  3. Step 3: Cross multiply
    373,695.50x = 580,233.75 × 580,233.75
  4. Step 4: Simplify right side
    373,695.50x = 336,671,204,639.06
  5. Step 5: Solve for x
    x = 336,671,204,639.06/373,695.50
  6. Step 6: Final answer
    x = 900,923.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.