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Finding the Third Proportional to 208,588.50 and 456,379.50

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Solution

The third proportional to 208,588.50 and 456,379.50 is: 998,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,588.50 : 456,379.50 = 456,379.50 : x
  2. Step 2: Convert to fraction form
    208,588.50/456,379.50 = 456,379.50/x
  3. Step 3: Cross multiply
    208,588.50x = 456,379.50 × 456,379.50
  4. Step 4: Simplify right side
    208,588.50x = 208,282,248,020.25
  5. Step 5: Solve for x
    x = 208,282,248,020.25/208,588.50
  6. Step 6: Final answer
    x = 998,531.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.