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Finding the Third Proportional to 482.81 and 749.06

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Solution

The third proportional to 482.81 and 749.06 is: 1,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.81 : 749.06 = 749.06 : x
  2. Step 2: Convert to fraction form
    482.81/749.06 = 749.06/x
  3. Step 3: Cross multiply
    482.81x = 749.06 × 749.06
  4. Step 4: Simplify right side
    482.81x = 561,094.63
  5. Step 5: Solve for x
    x = 561,094.63/482.81
  6. Step 6: Final answer
    x = 1,162.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.