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Finding the Third Proportional to 202,349 and 440,370

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Solution

The third proportional to 202,349 and 440,370 is: 958,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,349 : 440,370 = 440,370 : x
  2. Step 2: Convert to fraction form
    202,349/440,370 = 440,370/x
  3. Step 3: Cross multiply
    202,349x = 440,370 × 440,370
  4. Step 4: Simplify right side
    202,349x = 193,925,736,900
  5. Step 5: Solve for x
    x = 193,925,736,900/202,349
  6. Step 6: Final answer
    x = 958,372.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.