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Finding the Third Proportional to 348,722.72 and 739,293.75

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Solution

The third proportional to 348,722.72 and 739,293.75 is: 1,567,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,722.72 : 739,293.75 = 739,293.75 : x
  2. Step 2: Convert to fraction form
    348,722.72/739,293.75 = 739,293.75/x
  3. Step 3: Cross multiply
    348,722.72x = 739,293.75 × 739,293.75
  4. Step 4: Simplify right side
    348,722.72x = 546,555,248,789.06
  5. Step 5: Solve for x
    x = 546,555,248,789.06/348,722.72
  6. Step 6: Final answer
    x = 1,567,306.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.