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Finding the Third Proportional to 334,204.59 and 721,675.41

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Solution

The third proportional to 334,204.59 and 721,675.41 is: 1,558,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,204.59 : 721,675.41 = 721,675.41 : x
  2. Step 2: Convert to fraction form
    334,204.59/721,675.41 = 721,675.41/x
  3. Step 3: Cross multiply
    334,204.59x = 721,675.41 × 721,675.41
  4. Step 4: Simplify right side
    334,204.59x = 520,815,391,986.10
  5. Step 5: Solve for x
    x = 520,815,391,986.10/334,204.59
  6. Step 6: Final answer
    x = 1,558,372.93

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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.