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Finding the Third Proportional to 242,530 and 496,720

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Solution

The third proportional to 242,530 and 496,720 is: 1,017,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530 : 496,720 = 496,720 : x
  2. Step 2: Convert to fraction form
    242,530/496,720 = 496,720/x
  3. Step 3: Cross multiply
    242,530x = 496,720 × 496,720
  4. Step 4: Simplify right side
    242,530x = 246,730,758,400
  5. Step 5: Solve for x
    x = 246,730,758,400/242,530
  6. Step 6: Final answer
    x = 1,017,320.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.