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Finding the Third Proportional to 480,742 and 696,327

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Solution

The third proportional to 480,742 and 696,327 is: 1,008,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,742 : 696,327 = 696,327 : x
  2. Step 2: Convert to fraction form
    480,742/696,327 = 696,327/x
  3. Step 3: Cross multiply
    480,742x = 696,327 × 696,327
  4. Step 4: Simplify right side
    480,742x = 484,871,290,929
  5. Step 5: Solve for x
    x = 484,871,290,929/480,742
  6. Step 6: Final answer
    x = 1,008,589.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.