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Finding the Third Proportional to 271,765.50 and 590,352

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Solution

The third proportional to 271,765.50 and 590,352 is: 1,282,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,765.50 : 590,352 = 590,352 : x
  2. Step 2: Convert to fraction form
    271,765.50/590,352 = 590,352/x
  3. Step 3: Cross multiply
    271,765.50x = 590,352 × 590,352
  4. Step 4: Simplify right side
    271,765.50x = 348,515,483,904
  5. Step 5: Solve for x
    x = 348,515,483,904/271,765.50
  6. Step 6: Final answer
    x = 1,282,412.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.