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Finding the Third Proportional to 343,684 and 754,612

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Solution

The third proportional to 343,684 and 754,612 is: 1,656,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,684 : 754,612 = 754,612 : x
  2. Step 2: Convert to fraction form
    343,684/754,612 = 754,612/x
  3. Step 3: Cross multiply
    343,684x = 754,612 × 754,612
  4. Step 4: Simplify right side
    343,684x = 569,439,270,544
  5. Step 5: Solve for x
    x = 569,439,270,544/343,684
  6. Step 6: Final answer
    x = 1,656,868.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.