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Finding the Third Proportional to 264,813.75 and 588,472.13

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Solution

The third proportional to 264,813.75 and 588,472.13 is: 1,307,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,813.75 : 588,472.13 = 588,472.13 : x
  2. Step 2: Convert to fraction form
    264,813.75/588,472.13 = 588,472.13/x
  3. Step 3: Cross multiply
    264,813.75x = 588,472.13 × 588,472.13
  4. Step 4: Simplify right side
    264,813.75x = 346,299,441,902.02
  5. Step 5: Solve for x
    x = 346,299,441,902.02/264,813.75
  6. Step 6: Final answer
    x = 1,307,709.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.