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Finding the Third Proportional to 292,808 and 639,156

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Solution

The third proportional to 292,808 and 639,156 is: 1,395,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,808 : 639,156 = 639,156 : x
  2. Step 2: Convert to fraction form
    292,808/639,156 = 639,156/x
  3. Step 3: Cross multiply
    292,808x = 639,156 × 639,156
  4. Step 4: Simplify right side
    292,808x = 408,520,392,336
  5. Step 5: Solve for x
    x = 408,520,392,336/292,808
  6. Step 6: Final answer
    x = 1,395,181.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.