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Finding the Third Proportional to 207,381 and 423,508.50

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Solution

The third proportional to 207,381 and 423,508.50 is: 864,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,381 : 423,508.50 = 423,508.50 : x
  2. Step 2: Convert to fraction form
    207,381/423,508.50 = 423,508.50/x
  3. Step 3: Cross multiply
    207,381x = 423,508.50 × 423,508.50
  4. Step 4: Simplify right side
    207,381x = 179,359,449,572.25
  5. Step 5: Solve for x
    x = 179,359,449,572.25/207,381
  6. Step 6: Final answer
    x = 864,878.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.