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Finding the Third Proportional to 383,472 and 580,572

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Solution

The third proportional to 383,472 and 580,572 is: 878,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,472 : 580,572 = 580,572 : x
  2. Step 2: Convert to fraction form
    383,472/580,572 = 580,572/x
  3. Step 3: Cross multiply
    383,472x = 580,572 × 580,572
  4. Step 4: Simplify right side
    383,472x = 337,063,847,184
  5. Step 5: Solve for x
    x = 337,063,847,184/383,472
  6. Step 6: Final answer
    x = 878,979.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.