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Finding the Third Proportional to 215,829 and 474,492

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Solution

The third proportional to 215,829 and 474,492 is: 1,043,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,829 : 474,492 = 474,492 : x
  2. Step 2: Convert to fraction form
    215,829/474,492 = 474,492/x
  3. Step 3: Cross multiply
    215,829x = 474,492 × 474,492
  4. Step 4: Simplify right side
    215,829x = 225,142,658,064
  5. Step 5: Solve for x
    x = 225,142,658,064/215,829
  6. Step 6: Final answer
    x = 1,043,152.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.