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Finding the Third Proportional to 467,244 and 710,100

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Solution

The third proportional to 467,244 and 710,100 is: 1,079,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,244 : 710,100 = 710,100 : x
  2. Step 2: Convert to fraction form
    467,244/710,100 = 710,100/x
  3. Step 3: Cross multiply
    467,244x = 710,100 × 710,100
  4. Step 4: Simplify right side
    467,244x = 504,242,010,000
  5. Step 5: Solve for x
    x = 504,242,010,000/467,244
  6. Step 6: Final answer
    x = 1,079,183.49

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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.