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Finding the Third Proportional to 199,116 and 437,598

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Solution

The third proportional to 199,116 and 437,598 is: 961,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,116 : 437,598 = 437,598 : x
  2. Step 2: Convert to fraction form
    199,116/437,598 = 437,598/x
  3. Step 3: Cross multiply
    199,116x = 437,598 × 437,598
  4. Step 4: Simplify right side
    199,116x = 191,492,009,604
  5. Step 5: Solve for x
    x = 191,492,009,604/199,116
  6. Step 6: Final answer
    x = 961,710.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.