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Finding the Third Proportional to 346,335.75 and 748,500.75

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Solution

The third proportional to 346,335.75 and 748,500.75 is: 1,617,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,335.75 : 748,500.75 = 748,500.75 : x
  2. Step 2: Convert to fraction form
    346,335.75/748,500.75 = 748,500.75/x
  3. Step 3: Cross multiply
    346,335.75x = 748,500.75 × 748,500.75
  4. Step 4: Simplify right side
    346,335.75x = 560,253,372,750.56
  5. Step 5: Solve for x
    x = 560,253,372,750.56/346,335.75
  6. Step 6: Final answer
    x = 1,617,659.66

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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.