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Finding the Third Proportional to 461,308.50 and 998,437.50

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Solution

The third proportional to 461,308.50 and 998,437.50 is: 2,160,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,308.50 : 998,437.50 = 998,437.50 : x
  2. Step 2: Convert to fraction form
    461,308.50/998,437.50 = 998,437.50/x
  3. Step 3: Cross multiply
    461,308.50x = 998,437.50 × 998,437.50
  4. Step 4: Simplify right side
    461,308.50x = 996,877,441,406.25
  5. Step 5: Solve for x
    x = 996,877,441,406.25/461,308.50
  6. Step 6: Final answer
    x = 2,160,977.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.