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Finding the Third Proportional to 404,989 and 643,653.50

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Solution

The third proportional to 404,989 and 643,653.50 is: 1,022,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,989 : 643,653.50 = 643,653.50 : x
  2. Step 2: Convert to fraction form
    404,989/643,653.50 = 643,653.50/x
  3. Step 3: Cross multiply
    404,989x = 643,653.50 × 643,653.50
  4. Step 4: Simplify right side
    404,989x = 414,289,828,062.25
  5. Step 5: Solve for x
    x = 414,289,828,062.25/404,989
  6. Step 6: Final answer
    x = 1,022,965.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.