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Finding the Third Proportional to 523,816.88 and 1,143,588.38

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Solution

The third proportional to 523,816.88 and 1,143,588.38 is: 2,496,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,816.88 : 1,143,588.38 = 1,143,588.38 : x
  2. Step 2: Convert to fraction form
    523,816.88/1,143,588.38 = 1,143,588.38/x
  3. Step 3: Cross multiply
    523,816.88x = 1,143,588.38 × 1,143,588.38
  4. Step 4: Simplify right side
    523,816.88x = 1,307,794,371,435.14
  5. Step 5: Solve for x
    x = 1,307,794,371,435.14/523,816.88
  6. Step 6: Final answer
    x = 2,496,663.31

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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.