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Finding the Third Proportional to 334,200.94 and 721,667.29

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Solution

The third proportional to 334,200.94 and 721,667.29 is: 1,558,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200.94 : 721,667.29 = 721,667.29 : x
  2. Step 2: Convert to fraction form
    334,200.94/721,667.29 = 721,667.29/x
  3. Step 3: Cross multiply
    334,200.94x = 721,667.29 × 721,667.29
  4. Step 4: Simplify right side
    334,200.94x = 520,803,670,464.79
  5. Step 5: Solve for x
    x = 520,803,670,464.79/334,200.94
  6. Step 6: Final answer
    x = 1,558,354.91

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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.