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Finding the Third Proportional to 464.63 and 691.69

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Solution

The third proportional to 464.63 and 691.69 is: 1,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 691.69 = 691.69 : x
  2. Step 2: Convert to fraction form
    464.63/691.69 = 691.69/x
  3. Step 3: Cross multiply
    464.63x = 691.69 × 691.69
  4. Step 4: Simplify right side
    464.63x = 478,431.60
  5. Step 5: Solve for x
    x = 478,431.60/464.63
  6. Step 6: Final answer
    x = 1,029.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.