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Finding the Third Proportional to 259,180,656.75 and 571,190,584.50

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Solution

The third proportional to 259,180,656.75 and 571,190,584.50 is: 1,258,807,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,180,656.75 : 571,190,584.50 = 571,190,584.50 : x
  2. Step 2: Convert to fraction form
    259,180,656.75/571,190,584.50 = 571,190,584.50/x
  3. Step 3: Cross multiply
    259,180,656.75x = 571,190,584.50 × 571,190,584.50
  4. Step 4: Simplify right side
    259,180,656.75x = 326,258,683,821,451,648
  5. Step 5: Solve for x
    x = 326,258,683,821,451,648/259,180,656.75
  6. Step 6: Final answer
    x = 1,258,807,998.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.