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Finding the Third Proportional to 585 and 779.63

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Solution

The third proportional to 585 and 779.63 is: 1,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 779.63 = 779.63 : x
  2. Step 2: Convert to fraction form
    585/779.63 = 779.63/x
  3. Step 3: Cross multiply
    585x = 779.63 × 779.63
  4. Step 4: Simplify right side
    585x = 607,815.14
  5. Step 5: Solve for x
    x = 607,815.14/585
  6. Step 6: Final answer
    x = 1,039.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.