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Finding the Third Proportional to 421,069.50 and 647,221.50

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Solution

The third proportional to 421,069.50 and 647,221.50 is: 994,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,069.50 : 647,221.50 = 647,221.50 : x
  2. Step 2: Convert to fraction form
    421,069.50/647,221.50 = 647,221.50/x
  3. Step 3: Cross multiply
    421,069.50x = 647,221.50 × 647,221.50
  4. Step 4: Simplify right side
    421,069.50x = 418,895,670,062.25
  5. Step 5: Solve for x
    x = 418,895,670,062.25/421,069.50
  6. Step 6: Final answer
    x = 994,837.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.