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Finding the Third Proportional to 271,011.50 and 572,546

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Solution

The third proportional to 271,011.50 and 572,546 is: 1,209,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,011.50 : 572,546 = 572,546 : x
  2. Step 2: Convert to fraction form
    271,011.50/572,546 = 572,546/x
  3. Step 3: Cross multiply
    271,011.50x = 572,546 × 572,546
  4. Step 4: Simplify right side
    271,011.50x = 327,808,922,116
  5. Step 5: Solve for x
    x = 327,808,922,116/271,011.50
  6. Step 6: Final answer
    x = 1,209,575.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.