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Finding the Third Proportional to 343,445 and 737,674

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Solution

The third proportional to 343,445 and 737,674 is: 1,584,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,445 : 737,674 = 737,674 : x
  2. Step 2: Convert to fraction form
    343,445/737,674 = 737,674/x
  3. Step 3: Cross multiply
    343,445x = 737,674 × 737,674
  4. Step 4: Simplify right side
    343,445x = 544,162,930,276
  5. Step 5: Solve for x
    x = 544,162,930,276/343,445
  6. Step 6: Final answer
    x = 1,584,425.25

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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.