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Finding the Third Proportional to 199,514 and 437,798

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Solution

The third proportional to 199,514 and 437,798 is: 960,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,514 : 437,798 = 437,798 : x
  2. Step 2: Convert to fraction form
    199,514/437,798 = 437,798/x
  3. Step 3: Cross multiply
    199,514x = 437,798 × 437,798
  4. Step 4: Simplify right side
    199,514x = 191,667,088,804
  5. Step 5: Solve for x
    x = 191,667,088,804/199,514
  6. Step 6: Final answer
    x = 960,669.87

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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.