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Finding the Third Proportional to 480,734 and 696,315

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Solution

The third proportional to 480,734 and 696,315 is: 1,008,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,734 : 696,315 = 696,315 : x
  2. Step 2: Convert to fraction form
    480,734/696,315 = 696,315/x
  3. Step 3: Cross multiply
    480,734x = 696,315 × 696,315
  4. Step 4: Simplify right side
    480,734x = 484,854,579,225
  5. Step 5: Solve for x
    x = 484,854,579,225/480,734
  6. Step 6: Final answer
    x = 1,008,571.43

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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.