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Finding the Third Proportional to 260,913,376 and 559,175,680

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Solution

The third proportional to 260,913,376 and 559,175,680 is: 1,198,395,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,913,376 : 559,175,680 = 559,175,680 : x
  2. Step 2: Convert to fraction form
    260,913,376/559,175,680 = 559,175,680/x
  3. Step 3: Cross multiply
    260,913,376x = 559,175,680 × 559,175,680
  4. Step 4: Simplify right side
    260,913,376x = 312,677,441,103,462,400
  5. Step 5: Solve for x
    x = 312,677,441,103,462,400/260,913,376
  6. Step 6: Final answer
    x = 1,198,395,597.41

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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.