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Finding the Third Proportional to 208,729.50 and 456,843

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Solution

The third proportional to 208,729.50 and 456,843 is: 999,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,729.50 : 456,843 = 456,843 : x
  2. Step 2: Convert to fraction form
    208,729.50/456,843 = 456,843/x
  3. Step 3: Cross multiply
    208,729.50x = 456,843 × 456,843
  4. Step 4: Simplify right side
    208,729.50x = 208,705,526,649
  5. Step 5: Solve for x
    x = 208,705,526,649/208,729.50
  6. Step 6: Final answer
    x = 999,885.15

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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.