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Finding the Third Proportional to 199,716 and 434,424

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Solution

The third proportional to 199,716 and 434,424 is: 944,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,716 : 434,424 = 434,424 : x
  2. Step 2: Convert to fraction form
    199,716/434,424 = 434,424/x
  3. Step 3: Cross multiply
    199,716x = 434,424 × 434,424
  4. Step 4: Simplify right side
    199,716x = 188,724,211,776
  5. Step 5: Solve for x
    x = 188,724,211,776/199,716
  6. Step 6: Final answer
    x = 944,962.91

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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.