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Finding the Third Proportional to 230,681 and 495,847

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Solution

The third proportional to 230,681 and 495,847 is: 1,065,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,681 : 495,847 = 495,847 : x
  2. Step 2: Convert to fraction form
    230,681/495,847 = 495,847/x
  3. Step 3: Cross multiply
    230,681x = 495,847 × 495,847
  4. Step 4: Simplify right side
    230,681x = 245,864,247,409
  5. Step 5: Solve for x
    x = 245,864,247,409/230,681
  6. Step 6: Final answer
    x = 1,065,819.24

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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.