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Finding the Third Proportional to 230,565 and 495,573

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Solution

The third proportional to 230,565 and 495,573 is: 1,065,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,565 : 495,573 = 495,573 : x
  2. Step 2: Convert to fraction form
    230,565/495,573 = 495,573/x
  3. Step 3: Cross multiply
    230,565x = 495,573 × 495,573
  4. Step 4: Simplify right side
    230,565x = 245,592,598,329
  5. Step 5: Solve for x
    x = 245,592,598,329/230,565
  6. Step 6: Final answer
    x = 1,065,177.27

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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.