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Finding the Third Proportional to 334,372.50 and 721,233

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Solution

The third proportional to 334,372.50 and 721,233 is: 1,555,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,372.50 : 721,233 = 721,233 : x
  2. Step 2: Convert to fraction form
    334,372.50/721,233 = 721,233/x
  3. Step 3: Cross multiply
    334,372.50x = 721,233 × 721,233
  4. Step 4: Simplify right side
    334,372.50x = 520,177,040,289
  5. Step 5: Solve for x
    x = 520,177,040,289/334,372.50
  6. Step 6: Final answer
    x = 1,555,681.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.