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Finding the Third Proportional to 230,285 and 497,213

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Solution

The third proportional to 230,285 and 497,213 is: 1,073,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,285 : 497,213 = 497,213 : x
  2. Step 2: Convert to fraction form
    230,285/497,213 = 497,213/x
  3. Step 3: Cross multiply
    230,285x = 497,213 × 497,213
  4. Step 4: Simplify right side
    230,285x = 247,220,767,369
  5. Step 5: Solve for x
    x = 247,220,767,369/230,285
  6. Step 6: Final answer
    x = 1,073,542.64

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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.