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Finding the Third Proportional to 230,679 and 495,843

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Solution

The third proportional to 230,679 and 495,843 is: 1,065,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,679 : 495,843 = 495,843 : x
  2. Step 2: Convert to fraction form
    230,679/495,843 = 495,843/x
  3. Step 3: Cross multiply
    230,679x = 495,843 × 495,843
  4. Step 4: Simplify right side
    230,679x = 245,860,280,649
  5. Step 5: Solve for x
    x = 245,860,280,649/230,679
  6. Step 6: Final answer
    x = 1,065,811.28

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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.