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Finding the Third Proportional to 342,706 and 737,924

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Solution

The third proportional to 342,706 and 737,924 is: 1,588,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,706 : 737,924 = 737,924 : x
  2. Step 2: Convert to fraction form
    342,706/737,924 = 737,924/x
  3. Step 3: Cross multiply
    342,706x = 737,924 × 737,924
  4. Step 4: Simplify right side
    342,706x = 544,531,829,776
  5. Step 5: Solve for x
    x = 544,531,829,776/342,706
  6. Step 6: Final answer
    x = 1,588,918.28

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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.