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Finding the Third Proportional to 269,491.50 and 575,136

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Solution

The third proportional to 269,491.50 and 575,136 is: 1,227,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,491.50 : 575,136 = 575,136 : x
  2. Step 2: Convert to fraction form
    269,491.50/575,136 = 575,136/x
  3. Step 3: Cross multiply
    269,491.50x = 575,136 × 575,136
  4. Step 4: Simplify right side
    269,491.50x = 330,781,418,496
  5. Step 5: Solve for x
    x = 330,781,418,496/269,491.50
  6. Step 6: Final answer
    x = 1,227,428.02

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Why These Related Problems?

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