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Finding the Third Proportional to 207,056 and 443,641

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Solution

The third proportional to 207,056 and 443,641 is: 950,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,056 : 443,641 = 443,641 : x
  2. Step 2: Convert to fraction form
    207,056/443,641 = 443,641/x
  3. Step 3: Cross multiply
    207,056x = 443,641 × 443,641
  4. Step 4: Simplify right side
    207,056x = 196,817,336,881
  5. Step 5: Solve for x
    x = 196,817,336,881/207,056
  6. Step 6: Final answer
    x = 950,551.24

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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.