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Finding the Third Proportional to 480,734 and 747,322

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Solution

The third proportional to 480,734 and 747,322 is: 1,161,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,734 : 747,322 = 747,322 : x
  2. Step 2: Convert to fraction form
    480,734/747,322 = 747,322/x
  3. Step 3: Cross multiply
    480,734x = 747,322 × 747,322
  4. Step 4: Simplify right side
    480,734x = 558,490,171,684
  5. Step 5: Solve for x
    x = 558,490,171,684/480,734
  6. Step 6: Final answer
    x = 1,161,744.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.