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Finding the Third Proportional to 448,534 and 747,519

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Solution

The third proportional to 448,534 and 747,519 is: 1,245,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,534 : 747,519 = 747,519 : x
  2. Step 2: Convert to fraction form
    448,534/747,519 = 747,519/x
  3. Step 3: Cross multiply
    448,534x = 747,519 × 747,519
  4. Step 4: Simplify right side
    448,534x = 558,784,655,361
  5. Step 5: Solve for x
    x = 558,784,655,361/448,534
  6. Step 6: Final answer
    x = 1,245,802.23

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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.