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Finding the Third Proportional to 316,544 and 747,244

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Solution

The third proportional to 316,544 and 747,244 is: 1,763,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,544 : 747,244 = 747,244 : x
  2. Step 2: Convert to fraction form
    316,544/747,244 = 747,244/x
  3. Step 3: Cross multiply
    316,544x = 747,244 × 747,244
  4. Step 4: Simplify right side
    316,544x = 558,373,595,536
  5. Step 5: Solve for x
    x = 558,373,595,536/316,544
  6. Step 6: Final answer
    x = 1,763,968.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.