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Finding the Third Proportional to 337,212 and 722,259

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Solution

The third proportional to 337,212 and 722,259 is: 1,546,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,212 : 722,259 = 722,259 : x
  2. Step 2: Convert to fraction form
    337,212/722,259 = 722,259/x
  3. Step 3: Cross multiply
    337,212x = 722,259 × 722,259
  4. Step 4: Simplify right side
    337,212x = 521,658,063,081
  5. Step 5: Solve for x
    x = 521,658,063,081/337,212
  6. Step 6: Final answer
    x = 1,546,973.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.