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Finding the Third Proportional to 342,698 and 737,908

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Solution

The third proportional to 342,698 and 737,908 is: 1,588,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,698 : 737,908 = 737,908 : x
  2. Step 2: Convert to fraction form
    342,698/737,908 = 737,908/x
  3. Step 3: Cross multiply
    342,698x = 737,908 × 737,908
  4. Step 4: Simplify right side
    342,698x = 544,508,216,464
  5. Step 5: Solve for x
    x = 544,508,216,464/342,698
  6. Step 6: Final answer
    x = 1,588,886.47

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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.