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Finding the Third Proportional to 342,708 and 737,928

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Solution

The third proportional to 342,708 and 737,928 is: 1,588,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,708 : 737,928 = 737,928 : x
  2. Step 2: Convert to fraction form
    342,708/737,928 = 737,928/x
  3. Step 3: Cross multiply
    342,708x = 737,928 × 737,928
  4. Step 4: Simplify right side
    342,708x = 544,537,733,184
  5. Step 5: Solve for x
    x = 544,537,733,184/342,708
  6. Step 6: Final answer
    x = 1,588,926.24

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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.