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Finding the Third Proportional to 230,259 and 495,510

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Solution

The third proportional to 230,259 and 495,510 is: 1,066,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,259 : 495,510 = 495,510 : x
  2. Step 2: Convert to fraction form
    230,259/495,510 = 495,510/x
  3. Step 3: Cross multiply
    230,259x = 495,510 × 495,510
  4. Step 4: Simplify right side
    230,259x = 245,530,160,100
  5. Step 5: Solve for x
    x = 245,530,160,100/230,259
  6. Step 6: Final answer
    x = 1,066,321.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.