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Finding the Third Proportional to 337,604 and 737,942

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Solution

The third proportional to 337,604 and 737,942 is: 1,613,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,604 : 737,942 = 737,942 : x
  2. Step 2: Convert to fraction form
    337,604/737,942 = 737,942/x
  3. Step 3: Cross multiply
    337,604x = 737,942 × 737,942
  4. Step 4: Simplify right side
    337,604x = 544,558,395,364
  5. Step 5: Solve for x
    x = 544,558,395,364/337,604
  6. Step 6: Final answer
    x = 1,613,009.31

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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.