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Finding the Third Proportional to 357,078.38 and 743,748.75

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Solution

The third proportional to 357,078.38 and 743,748.75 is: 1,549,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,078.38 : 743,748.75 = 743,748.75 : x
  2. Step 2: Convert to fraction form
    357,078.38/743,748.75 = 743,748.75/x
  3. Step 3: Cross multiply
    357,078.38x = 743,748.75 × 743,748.75
  4. Step 4: Simplify right side
    357,078.38x = 553,162,203,126.56
  5. Step 5: Solve for x
    x = 553,162,203,126.56/357,078.38
  6. Step 6: Final answer
    x = 1,549,133.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.