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Finding the Third Proportional to 198,914 and 432,784

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Solution

The third proportional to 198,914 and 432,784 is: 941,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,914 : 432,784 = 432,784 : x
  2. Step 2: Convert to fraction form
    198,914/432,784 = 432,784/x
  3. Step 3: Cross multiply
    198,914x = 432,784 × 432,784
  4. Step 4: Simplify right side
    198,914x = 187,301,990,656
  5. Step 5: Solve for x
    x = 187,301,990,656/198,914
  6. Step 6: Final answer
    x = 941,622.97

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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.