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Finding the Third Proportional to 260,913,352 and 559,175,642

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Solution

The third proportional to 260,913,352 and 559,175,642 is: 1,198,395,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913,352 : 559,175,642 = 559,175,642 : x
  2. Step 2: Convert to fraction form
    260,913,352/559,175,642 = 559,175,642/x
  3. Step 3: Cross multiply
    260,913,352x = 559,175,642 × 559,175,642
  4. Step 4: Simplify right side
    260,913,352x = 312,677,398,606,112,192
  5. Step 5: Solve for x
    x = 312,677,398,606,112,192/260,913,352
  6. Step 6: Final answer
    x = 1,198,395,544.76

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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.