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Finding the Third Proportional to 337,170 and 722,433

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Solution

The third proportional to 337,170 and 722,433 is: 1,547,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,170 : 722,433 = 722,433 : x
  2. Step 2: Convert to fraction form
    337,170/722,433 = 722,433/x
  3. Step 3: Cross multiply
    337,170x = 722,433 × 722,433
  4. Step 4: Simplify right side
    337,170x = 521,909,439,489
  5. Step 5: Solve for x
    x = 521,909,439,489/337,170
  6. Step 6: Final answer
    x = 1,547,911.85

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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.