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Finding the Third Proportional to 199,480.50 and 432,870

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Solution

The third proportional to 199,480.50 and 432,870 is: 939,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,480.50 : 432,870 = 432,870 : x
  2. Step 2: Convert to fraction form
    199,480.50/432,870 = 432,870/x
  3. Step 3: Cross multiply
    199,480.50x = 432,870 × 432,870
  4. Step 4: Simplify right side
    199,480.50x = 187,376,436,900
  5. Step 5: Solve for x
    x = 187,376,436,900/199,480.50
  6. Step 6: Final answer
    x = 939,322.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.