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Finding the Third Proportional to 311,543 and 680,743

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Solution

The third proportional to 311,543 and 680,743 is: 1,487,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,543 : 680,743 = 680,743 : x
  2. Step 2: Convert to fraction form
    311,543/680,743 = 680,743/x
  3. Step 3: Cross multiply
    311,543x = 680,743 × 680,743
  4. Step 4: Simplify right side
    311,543x = 463,411,032,049
  5. Step 5: Solve for x
    x = 463,411,032,049/311,543
  6. Step 6: Final answer
    x = 1,487,470.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.