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Finding the Third Proportional to 338,592 and 722,184

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Solution

The third proportional to 338,592 and 722,184 is: 1,540,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,592 : 722,184 = 722,184 : x
  2. Step 2: Convert to fraction form
    338,592/722,184 = 722,184/x
  3. Step 3: Cross multiply
    338,592x = 722,184 × 722,184
  4. Step 4: Simplify right side
    338,592x = 521,549,729,856
  5. Step 5: Solve for x
    x = 521,549,729,856/338,592
  6. Step 6: Final answer
    x = 1,540,348.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.