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Finding the Third Proportional to 373,959 and 580,146

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Solution

The third proportional to 373,959 and 580,146 is: 900,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,959 : 580,146 = 580,146 : x
  2. Step 2: Convert to fraction form
    373,959/580,146 = 580,146/x
  3. Step 3: Cross multiply
    373,959x = 580,146 × 580,146
  4. Step 4: Simplify right side
    373,959x = 336,569,381,316
  5. Step 5: Solve for x
    x = 336,569,381,316/373,959
  6. Step 6: Final answer
    x = 900,016.80

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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.