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Finding the Third Proportional to 315,654 and 425,285

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Solution

The third proportional to 315,654 and 425,285 is: 572,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,654 : 425,285 = 425,285 : x
  2. Step 2: Convert to fraction form
    315,654/425,285 = 425,285/x
  3. Step 3: Cross multiply
    315,654x = 425,285 × 425,285
  4. Step 4: Simplify right side
    315,654x = 180,867,331,225
  5. Step 5: Solve for x
    x = 180,867,331,225/315,654
  6. Step 6: Final answer
    x = 572,992.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.