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Finding the Third Proportional to 448,504 and 747,480

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Solution

The third proportional to 448,504 and 747,480 is: 1,245,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,504 : 747,480 = 747,480 : x
  2. Step 2: Convert to fraction form
    448,504/747,480 = 747,480/x
  3. Step 3: Cross multiply
    448,504x = 747,480 × 747,480
  4. Step 4: Simplify right side
    448,504x = 558,726,350,400
  5. Step 5: Solve for x
    x = 558,726,350,400/448,504
  6. Step 6: Final answer
    x = 1,245,755.56

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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.