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Finding the Third Proportional to 700,380 and 1,019,952

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Solution

The third proportional to 700,380 and 1,019,952 is: 1,485,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,380 : 1,019,952 = 1,019,952 : x
  2. Step 2: Convert to fraction form
    700,380/1,019,952 = 1,019,952/x
  3. Step 3: Cross multiply
    700,380x = 1,019,952 × 1,019,952
  4. Step 4: Simplify right side
    700,380x = 1,040,302,082,304
  5. Step 5: Solve for x
    x = 1,040,302,082,304/700,380
  6. Step 6: Final answer
    x = 1,485,339.50

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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.