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Finding the Third Proportional to 337,044 and 737,394

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Solution

The third proportional to 337,044 and 737,394 is: 1,613,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,044 : 737,394 = 737,394 : x
  2. Step 2: Convert to fraction form
    337,044/737,394 = 737,394/x
  3. Step 3: Cross multiply
    337,044x = 737,394 × 737,394
  4. Step 4: Simplify right side
    337,044x = 543,749,911,236
  5. Step 5: Solve for x
    x = 543,749,911,236/337,044
  6. Step 6: Final answer
    x = 1,613,290.58

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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.