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Finding the Third Proportional to 464 and 632.25

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Solution

The third proportional to 464 and 632.25 is: 861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 632.25 = 632.25 : x
  2. Step 2: Convert to fraction form
    464/632.25 = 632.25/x
  3. Step 3: Cross multiply
    464x = 632.25 × 632.25
  4. Step 4: Simplify right side
    464x = 399,740.06
  5. Step 5: Solve for x
    x = 399,740.06/464
  6. Step 6: Final answer
    x = 861.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.