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Finding the Third Proportional to 341,512.88 and 527,667.75

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Solution

The third proportional to 341,512.88 and 527,667.75 is: 815,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,512.88 : 527,667.75 = 527,667.75 : x
  2. Step 2: Convert to fraction form
    341,512.88/527,667.75 = 527,667.75/x
  3. Step 3: Cross multiply
    341,512.88x = 527,667.75 × 527,667.75
  4. Step 4: Simplify right side
    341,512.88x = 278,433,254,390.06
  5. Step 5: Solve for x
    x = 278,433,254,390.06/341,512.88
  6. Step 6: Final answer
    x = 815,293.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.