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Finding the Third Proportional to 202,217 and 437,597

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Solution

The third proportional to 202,217 and 437,597 is: 946,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,217 : 437,597 = 437,597 : x
  2. Step 2: Convert to fraction form
    202,217/437,597 = 437,597/x
  3. Step 3: Cross multiply
    202,217x = 437,597 × 437,597
  4. Step 4: Simplify right side
    202,217x = 191,491,134,409
  5. Step 5: Solve for x
    x = 191,491,134,409/202,217
  6. Step 6: Final answer
    x = 946,958.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.