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Finding the Third Proportional to 210,721.50 and 451,590.19

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Solution

The third proportional to 210,721.50 and 451,590.19 is: 967,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,721.50 : 451,590.19 = 451,590.19 : x
  2. Step 2: Convert to fraction form
    210,721.50/451,590.19 = 451,590.19/x
  3. Step 3: Cross multiply
    210,721.50x = 451,590.19 × 451,590.19
  4. Step 4: Simplify right side
    210,721.50x = 203,933,697,446.29
  5. Step 5: Solve for x
    x = 203,933,697,446.29/210,721.50
  6. Step 6: Final answer
    x = 967,787.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.