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Finding the Third Proportional to 548,378 and 747,071

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Solution

The third proportional to 548,378 and 747,071 is: 1,017,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,378 : 747,071 = 747,071 : x
  2. Step 2: Convert to fraction form
    548,378/747,071 = 747,071/x
  3. Step 3: Cross multiply
    548,378x = 747,071 × 747,071
  4. Step 4: Simplify right side
    548,378x = 558,115,079,041
  5. Step 5: Solve for x
    x = 558,115,079,041/548,378
  6. Step 6: Final answer
    x = 1,017,756.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.