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Finding the Third Proportional to 311,782 and 673,382

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Solution

The third proportional to 311,782 and 673,382 is: 1,454,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,782 : 673,382 = 673,382 : x
  2. Step 2: Convert to fraction form
    311,782/673,382 = 673,382/x
  3. Step 3: Cross multiply
    311,782x = 673,382 × 673,382
  4. Step 4: Simplify right side
    311,782x = 453,443,317,924
  5. Step 5: Solve for x
    x = 453,443,317,924/311,782
  6. Step 6: Final answer
    x = 1,454,360.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.