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Finding the Third Proportional to 260,387,330 and 557,015,195

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Solution

The third proportional to 260,387,330 and 557,015,195 is: 1,191,555,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,387,330 : 557,015,195 = 557,015,195 : x
  2. Step 2: Convert to fraction form
    260,387,330/557,015,195 = 557,015,195/x
  3. Step 3: Cross multiply
    260,387,330x = 557,015,195 × 557,015,195
  4. Step 4: Simplify right side
    260,387,330x = 310,265,927,460,888,000
  5. Step 5: Solve for x
    x = 310,265,927,460,888,000/260,387,330
  6. Step 6: Final answer
    x = 1,191,555,393.50

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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.