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Finding the Third Proportional to 448,532 and 747,516

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Solution

The third proportional to 448,532 and 747,516 is: 1,245,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,532 : 747,516 = 747,516 : x
  2. Step 2: Convert to fraction form
    448,532/747,516 = 747,516/x
  3. Step 3: Cross multiply
    448,532x = 747,516 × 747,516
  4. Step 4: Simplify right side
    448,532x = 558,780,170,256
  5. Step 5: Solve for x
    x = 558,780,170,256/448,532
  6. Step 6: Final answer
    x = 1,245,797.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.