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Finding the Third Proportional to 271,488 and 579,031.50

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Solution

The third proportional to 271,488 and 579,031.50 is: 1,234,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,488 : 579,031.50 = 579,031.50 : x
  2. Step 2: Convert to fraction form
    271,488/579,031.50 = 579,031.50/x
  3. Step 3: Cross multiply
    271,488x = 579,031.50 × 579,031.50
  4. Step 4: Simplify right side
    271,488x = 335,277,477,992.25
  5. Step 5: Solve for x
    x = 335,277,477,992.25/271,488
  6. Step 6: Final answer
    x = 1,234,962.42

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.