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Finding the Third Proportional to 383.48 and 765.07

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Solution

The third proportional to 383.48 and 765.07 is: 1,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 765.07 = 765.07 : x
  2. Step 2: Convert to fraction form
    383.48/765.07 = 765.07/x
  3. Step 3: Cross multiply
    383.48x = 765.07 × 765.07
  4. Step 4: Simplify right side
    383.48x = 585,332.58
  5. Step 5: Solve for x
    x = 585,332.58/383.48
  6. Step 6: Final answer
    x = 1,526.35

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.