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Finding the Third Proportional to 230,560 and 495,565

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Solution

The third proportional to 230,560 and 495,565 is: 1,065,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,560 : 495,565 = 495,565 : x
  2. Step 2: Convert to fraction form
    230,560/495,565 = 495,565/x
  3. Step 3: Cross multiply
    230,560x = 495,565 × 495,565
  4. Step 4: Simplify right side
    230,560x = 245,584,669,225
  5. Step 5: Solve for x
    x = 245,584,669,225/230,560
  6. Step 6: Final answer
    x = 1,065,165.98

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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.