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Finding the Third Proportional to 207,905 and 437,543

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Solution

The third proportional to 207,905 and 437,543 is: 920,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,905 : 437,543 = 437,543 : x
  2. Step 2: Convert to fraction form
    207,905/437,543 = 437,543/x
  3. Step 3: Cross multiply
    207,905x = 437,543 × 437,543
  4. Step 4: Simplify right side
    207,905x = 191,443,876,849
  5. Step 5: Solve for x
    x = 191,443,876,849/207,905
  6. Step 6: Final answer
    x = 920,823.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.