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Finding the Third Proportional to 467,242 and 710,096

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Solution

The third proportional to 467,242 and 710,096 is: 1,079,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,242 : 710,096 = 710,096 : x
  2. Step 2: Convert to fraction form
    467,242/710,096 = 710,096/x
  3. Step 3: Cross multiply
    467,242x = 710,096 × 710,096
  4. Step 4: Simplify right side
    467,242x = 504,236,329,216
  5. Step 5: Solve for x
    x = 504,236,329,216/467,242
  6. Step 6: Final answer
    x = 1,079,175.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.