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Finding the Third Proportional to 343,448 and 737,680

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Solution

The third proportional to 343,448 and 737,680 is: 1,584,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,448 : 737,680 = 737,680 : x
  2. Step 2: Convert to fraction form
    343,448/737,680 = 737,680/x
  3. Step 3: Cross multiply
    343,448x = 737,680 × 737,680
  4. Step 4: Simplify right side
    343,448x = 544,171,782,400
  5. Step 5: Solve for x
    x = 544,171,782,400/343,448
  6. Step 6: Final answer
    x = 1,584,437.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.