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Finding the Third Proportional to 334,212.75 and 721,693.13

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Solution

The third proportional to 334,212.75 and 721,693.13 is: 1,558,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,212.75 : 721,693.13 = 721,693.13 : x
  2. Step 2: Convert to fraction form
    334,212.75/721,693.13 = 721,693.13/x
  3. Step 3: Cross multiply
    334,212.75x = 721,693.13 × 721,693.13
  4. Step 4: Simplify right side
    334,212.75x = 520,840,966,672.27
  5. Step 5: Solve for x
    x = 520,840,966,672.27/334,212.75
  6. Step 6: Final answer
    x = 1,558,411.42

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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.