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Finding the Third Proportional to 357.19 and 774.94

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Solution

The third proportional to 357.19 and 774.94 is: 1,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.19 : 774.94 = 774.94 : x
  2. Step 2: Convert to fraction form
    357.19/774.94 = 774.94/x
  3. Step 3: Cross multiply
    357.19x = 774.94 × 774.94
  4. Step 4: Simplify right side
    357.19x = 600,528.13
  5. Step 5: Solve for x
    x = 600,528.13/357.19
  6. Step 6: Final answer
    x = 1,681.27

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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.