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Finding the Third Proportional to 207,697 and 450,385

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Solution

The third proportional to 207,697 and 450,385 is: 976,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,697 : 450,385 = 450,385 : x
  2. Step 2: Convert to fraction form
    207,697/450,385 = 450,385/x
  3. Step 3: Cross multiply
    207,697x = 450,385 × 450,385
  4. Step 4: Simplify right side
    207,697x = 202,846,648,225
  5. Step 5: Solve for x
    x = 202,846,648,225/207,697
  6. Step 6: Final answer
    x = 976,646.98

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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.