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Finding the Third Proportional to 361,453.75 and 785,218

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Solution

The third proportional to 361,453.75 and 785,218 is: 1,705,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,453.75 : 785,218 = 785,218 : x
  2. Step 2: Convert to fraction form
    361,453.75/785,218 = 785,218/x
  3. Step 3: Cross multiply
    361,453.75x = 785,218 × 785,218
  4. Step 4: Simplify right side
    361,453.75x = 616,567,307,524
  5. Step 5: Solve for x
    x = 616,567,307,524/361,453.75
  6. Step 6: Final answer
    x = 1,705,798.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.