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Finding the Third Proportional to 260,171,354 and 563,211,675

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Solution

The third proportional to 260,171,354 and 563,211,675 is: 1,219,224,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,171,354 : 563,211,675 = 563,211,675 : x
  2. Step 2: Convert to fraction form
    260,171,354/563,211,675 = 563,211,675/x
  3. Step 3: Cross multiply
    260,171,354x = 563,211,675 × 563,211,675
  4. Step 4: Simplify right side
    260,171,354x = 317,207,390,856,305,600
  5. Step 5: Solve for x
    x = 317,207,390,856,305,600/260,171,354
  6. Step 6: Final answer
    x = 1,219,224,891.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.