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Finding the Third Proportional to 448,412 and 747,352

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Solution

The third proportional to 448,412 and 747,352 is: 1,245,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,412 : 747,352 = 747,352 : x
  2. Step 2: Convert to fraction form
    448,412/747,352 = 747,352/x
  3. Step 3: Cross multiply
    448,412x = 747,352 × 747,352
  4. Step 4: Simplify right side
    448,412x = 558,535,011,904
  5. Step 5: Solve for x
    x = 558,535,011,904/448,412
  6. Step 6: Final answer
    x = 1,245,584.44

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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.