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Finding the Third Proportional to 284,813.25 and 672,330.38

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Solution

The third proportional to 284,813.25 and 672,330.38 is: 1,587,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,813.25 : 672,330.38 = 672,330.38 : x
  2. Step 2: Convert to fraction form
    284,813.25/672,330.38 = 672,330.38/x
  3. Step 3: Cross multiply
    284,813.25x = 672,330.38 × 672,330.38
  4. Step 4: Simplify right side
    284,813.25x = 452,028,133,147.64
  5. Step 5: Solve for x
    x = 452,028,133,147.64/284,813.25
  6. Step 6: Final answer
    x = 1,587,103.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.