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Finding the Third Proportional to 337,173 and 722,441

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Solution

The third proportional to 337,173 and 722,441 is: 1,547,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,173 : 722,441 = 722,441 : x
  2. Step 2: Convert to fraction form
    337,173/722,441 = 722,441/x
  3. Step 3: Cross multiply
    337,173x = 722,441 × 722,441
  4. Step 4: Simplify right side
    337,173x = 521,920,998,481
  5. Step 5: Solve for x
    x = 521,920,998,481/337,173
  6. Step 6: Final answer
    x = 1,547,932.36

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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.