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Finding the Third Proportional to 280,266 and 423,315

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Solution

The third proportional to 280,266 and 423,315 is: 639,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,266 : 423,315 = 423,315 : x
  2. Step 2: Convert to fraction form
    280,266/423,315 = 423,315/x
  3. Step 3: Cross multiply
    280,266x = 423,315 × 423,315
  4. Step 4: Simplify right side
    280,266x = 179,195,589,225
  5. Step 5: Solve for x
    x = 179,195,589,225/280,266
  6. Step 6: Final answer
    x = 639,376.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.