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Finding the Third Proportional to 291,150 and 617,292

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Solution

The third proportional to 291,150 and 617,292 is: 1,308,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,150 : 617,292 = 617,292 : x
  2. Step 2: Convert to fraction form
    291,150/617,292 = 617,292/x
  3. Step 3: Cross multiply
    291,150x = 617,292 × 617,292
  4. Step 4: Simplify right side
    291,150x = 381,049,413,264
  5. Step 5: Solve for x
    x = 381,049,413,264/291,150
  6. Step 6: Final answer
    x = 1,308,773.53

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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.