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Finding the Third Proportional to 260,387,329 and 557,015,193

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Solution

The third proportional to 260,387,329 and 557,015,193 is: 1,191,555,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,387,329 : 557,015,193 = 557,015,193 : x
  2. Step 2: Convert to fraction form
    260,387,329/557,015,193 = 557,015,193/x
  3. Step 3: Cross multiply
    260,387,329x = 557,015,193 × 557,015,193
  4. Step 4: Simplify right side
    260,387,329x = 310,265,925,232,827,264
  5. Step 5: Solve for x
    x = 310,265,925,232,827,264/260,387,329
  6. Step 6: Final answer
    x = 1,191,555,389.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.