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Finding the Third Proportional to 271,333.13 and 590,878.13

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Solution

The third proportional to 271,333.13 and 590,878.13 is: 1,286,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,333.13 : 590,878.13 = 590,878.13 : x
  2. Step 2: Convert to fraction form
    271,333.13/590,878.13 = 590,878.13/x
  3. Step 3: Cross multiply
    271,333.13x = 590,878.13 × 590,878.13
  4. Step 4: Simplify right side
    271,333.13x = 349,136,958,603.52
  5. Step 5: Solve for x
    x = 349,136,958,603.52/271,333.13
  6. Step 6: Final answer
    x = 1,286,746.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.