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Finding the Third Proportional to 271,363.50 and 572,827.50

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Solution

The third proportional to 271,363.50 and 572,827.50 is: 1,209,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,363.50 : 572,827.50 = 572,827.50 : x
  2. Step 2: Convert to fraction form
    271,363.50/572,827.50 = 572,827.50/x
  3. Step 3: Cross multiply
    271,363.50x = 572,827.50 × 572,827.50
  4. Step 4: Simplify right side
    271,363.50x = 328,131,344,756.25
  5. Step 5: Solve for x
    x = 328,131,344,756.25/271,363.50
  6. Step 6: Final answer
    x = 1,209,194.84

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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.