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Finding the Third Proportional to 319,073,695.50 and 694,052,010

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Solution

The third proportional to 319,073,695.50 and 694,052,010 is: 1,509,708,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,073,695.50 : 694,052,010 = 694,052,010 : x
  2. Step 2: Convert to fraction form
    319,073,695.50/694,052,010 = 694,052,010/x
  3. Step 3: Cross multiply
    319,073,695.50x = 694,052,010 × 694,052,010
  4. Step 4: Simplify right side
    319,073,695.50x = 481,708,192,585,040,128
  5. Step 5: Solve for x
    x = 481,708,192,585,040,128/319,073,695.50
  6. Step 6: Final answer
    x = 1,509,708,256.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.