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Finding the Third Proportional to 495.88 and 810.13

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Solution

The third proportional to 495.88 and 810.13 is: 1,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.88 : 810.13 = 810.13 : x
  2. Step 2: Convert to fraction form
    495.88/810.13 = 810.13/x
  3. Step 3: Cross multiply
    495.88x = 810.13 × 810.13
  4. Step 4: Simplify right side
    495.88x = 656,302.52
  5. Step 5: Solve for x
    x = 656,302.52/495.88
  6. Step 6: Final answer
    x = 1,323.52

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.