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Finding the Third Proportional to 360.41 and 785.69

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Solution

The third proportional to 360.41 and 785.69 is: 1,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 785.69 = 785.69 : x
  2. Step 2: Convert to fraction form
    360.41/785.69 = 785.69/x
  3. Step 3: Cross multiply
    360.41x = 785.69 × 785.69
  4. Step 4: Simplify right side
    360.41x = 617,302.74
  5. Step 5: Solve for x
    x = 617,302.74/360.41
  6. Step 6: Final answer
    x = 1,712.80

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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.