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Finding the Third Proportional to 559.83 and 765.07

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Solution

The third proportional to 559.83 and 765.07 is: 1,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 765.07 = 765.07 : x
  2. Step 2: Convert to fraction form
    559.83/765.07 = 765.07/x
  3. Step 3: Cross multiply
    559.83x = 765.07 × 765.07
  4. Step 4: Simplify right side
    559.83x = 585,332.58
  5. Step 5: Solve for x
    x = 585,332.58/559.83
  6. Step 6: Final answer
    x = 1,045.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.