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Finding the Third Proportional to 700,384 and 1,019,958

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Solution

The third proportional to 700,384 and 1,019,958 is: 1,485,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,384 : 1,019,958 = 1,019,958 : x
  2. Step 2: Convert to fraction form
    700,384/1,019,958 = 1,019,958/x
  3. Step 3: Cross multiply
    700,384x = 1,019,958 × 1,019,958
  4. Step 4: Simplify right side
    700,384x = 1,040,314,321,764
  5. Step 5: Solve for x
    x = 1,040,314,321,764/700,384
  6. Step 6: Final answer
    x = 1,485,348.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.