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Finding the Third Proportional to 726,705 and 1,040,235.75

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Solution

The third proportional to 726,705 and 1,040,235.75 is: 1,489,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,705 : 1,040,235.75 = 1,040,235.75 : x
  2. Step 2: Convert to fraction form
    726,705/1,040,235.75 = 1,040,235.75/x
  3. Step 3: Cross multiply
    726,705x = 1,040,235.75 × 1,040,235.75
  4. Step 4: Simplify right side
    726,705x = 1,082,090,415,578.06
  5. Step 5: Solve for x
    x = 1,082,090,415,578.06/726,705
  6. Step 6: Final answer
    x = 1,489,036.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.