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Finding the Third Proportional to 373,683 and 580,215

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Solution

The third proportional to 373,683 and 580,215 is: 900,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,683 : 580,215 = 580,215 : x
  2. Step 2: Convert to fraction form
    373,683/580,215 = 580,215/x
  3. Step 3: Cross multiply
    373,683x = 580,215 × 580,215
  4. Step 4: Simplify right side
    373,683x = 336,649,446,225
  5. Step 5: Solve for x
    x = 336,649,446,225/373,683
  6. Step 6: Final answer
    x = 900,895.80

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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.