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Finding the Third Proportional to 271,192.50 and 589,953

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Solution

The third proportional to 271,192.50 and 589,953 is: 1,283,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,192.50 : 589,953 = 589,953 : x
  2. Step 2: Convert to fraction form
    271,192.50/589,953 = 589,953/x
  3. Step 3: Cross multiply
    271,192.50x = 589,953 × 589,953
  4. Step 4: Simplify right side
    271,192.50x = 348,044,542,209
  5. Step 5: Solve for x
    x = 348,044,542,209/271,192.50
  6. Step 6: Final answer
    x = 1,283,385.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.