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Finding the Third Proportional to 207,054 and 443,637

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Solution

The third proportional to 207,054 and 443,637 is: 950,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,054 : 443,637 = 443,637 : x
  2. Step 2: Convert to fraction form
    207,054/443,637 = 443,637/x
  3. Step 3: Cross multiply
    207,054x = 443,637 × 443,637
  4. Step 4: Simplify right side
    207,054x = 196,813,787,769
  5. Step 5: Solve for x
    x = 196,813,787,769/207,054
  6. Step 6: Final answer
    x = 950,543.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.