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Finding the Third Proportional to 271,332 and 415,062

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Solution

The third proportional to 271,332 and 415,062 is: 634,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,332 : 415,062 = 415,062 : x
  2. Step 2: Convert to fraction form
    271,332/415,062 = 415,062/x
  3. Step 3: Cross multiply
    271,332x = 415,062 × 415,062
  4. Step 4: Simplify right side
    271,332x = 172,276,463,844
  5. Step 5: Solve for x
    x = 172,276,463,844/271,332
  6. Step 6: Final answer
    x = 634,928.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.