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Finding the Third Proportional to 393,012 and 842,046.50

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Solution

The third proportional to 393,012 and 842,046.50 is: 1,804,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,012 : 842,046.50 = 842,046.50 : x
  2. Step 2: Convert to fraction form
    393,012/842,046.50 = 842,046.50/x
  3. Step 3: Cross multiply
    393,012x = 842,046.50 × 842,046.50
  4. Step 4: Simplify right side
    393,012x = 709,042,308,162.25
  5. Step 5: Solve for x
    x = 709,042,308,162.25/393,012
  6. Step 6: Final answer
    x = 1,804,123.81

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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.