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Finding the Third Proportional to 230,475 and 500,310

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Solution

The third proportional to 230,475 and 500,310 is: 1,086,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,475 : 500,310 = 500,310 : x
  2. Step 2: Convert to fraction form
    230,475/500,310 = 500,310/x
  3. Step 3: Cross multiply
    230,475x = 500,310 × 500,310
  4. Step 4: Simplify right side
    230,475x = 250,310,096,100
  5. Step 5: Solve for x
    x = 250,310,096,100/230,475
  6. Step 6: Final answer
    x = 1,086,061.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.