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Finding the Third Proportional to 364.19 and 786.25

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Solution

The third proportional to 364.19 and 786.25 is: 1,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.19 : 786.25 = 786.25 : x
  2. Step 2: Convert to fraction form
    364.19/786.25 = 786.25/x
  3. Step 3: Cross multiply
    364.19x = 786.25 × 786.25
  4. Step 4: Simplify right side
    364.19x = 618,189.06
  5. Step 5: Solve for x
    x = 618,189.06/364.19
  6. Step 6: Final answer
    x = 1,697.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.