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Finding the Third Proportional to 198,912 and 432,780

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Solution

The third proportional to 198,912 and 432,780 is: 941,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,912 : 432,780 = 432,780 : x
  2. Step 2: Convert to fraction form
    198,912/432,780 = 432,780/x
  3. Step 3: Cross multiply
    198,912x = 432,780 × 432,780
  4. Step 4: Simplify right side
    198,912x = 187,298,528,400
  5. Step 5: Solve for x
    x = 187,298,528,400/198,912
  6. Step 6: Final answer
    x = 941,615.03

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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.