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Finding the Third Proportional to 623.63 and 691.13

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Solution

The third proportional to 623.63 and 691.13 is: 765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.63 : 691.13 = 691.13 : x
  2. Step 2: Convert to fraction form
    623.63/691.13 = 691.13/x
  3. Step 3: Cross multiply
    623.63x = 691.13 × 691.13
  4. Step 4: Simplify right side
    623.63x = 477,653.77
  5. Step 5: Solve for x
    x = 477,653.77/623.63
  6. Step 6: Final answer
    x = 765.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.