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Finding the Third Proportional to 260,913,320 and 559,175,578

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Solution

The third proportional to 260,913,320 and 559,175,578 is: 1,198,395,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913,320 : 559,175,578 = 559,175,578 : x
  2. Step 2: Convert to fraction form
    260,913,320/559,175,578 = 559,175,578/x
  3. Step 3: Cross multiply
    260,913,320x = 559,175,578 × 559,175,578
  4. Step 4: Simplify right side
    260,913,320x = 312,677,327,031,634,112
  5. Step 5: Solve for x
    x = 312,677,327,031,634,112/260,913,320
  6. Step 6: Final answer
    x = 1,198,395,417.42

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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.