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Finding the Third Proportional to 202,024 and 439,418

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Solution

The third proportional to 202,024 and 439,418 is: 955,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024 : 439,418 = 439,418 : x
  2. Step 2: Convert to fraction form
    202,024/439,418 = 439,418/x
  3. Step 3: Cross multiply
    202,024x = 439,418 × 439,418
  4. Step 4: Simplify right side
    202,024x = 193,088,178,724
  5. Step 5: Solve for x
    x = 193,088,178,724/202,024
  6. Step 6: Final answer
    x = 955,768.52

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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.