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Finding the Third Proportional to 199,377 and 437,507

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Solution

The third proportional to 199,377 and 437,507 is: 960,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,377 : 437,507 = 437,507 : x
  2. Step 2: Convert to fraction form
    199,377/437,507 = 437,507/x
  3. Step 3: Cross multiply
    199,377x = 437,507 × 437,507
  4. Step 4: Simplify right side
    199,377x = 191,412,375,049
  5. Step 5: Solve for x
    x = 191,412,375,049/199,377
  6. Step 6: Final answer
    x = 960,052.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.