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Finding the Third Proportional to 202,943 and 440,468

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Solution

The third proportional to 202,943 and 440,468 is: 955,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,943 : 440,468 = 440,468 : x
  2. Step 2: Convert to fraction form
    202,943/440,468 = 440,468/x
  3. Step 3: Cross multiply
    202,943x = 440,468 × 440,468
  4. Step 4: Simplify right side
    202,943x = 194,012,059,024
  5. Step 5: Solve for x
    x = 194,012,059,024/202,943
  6. Step 6: Final answer
    x = 955,992.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.