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Finding the Third Proportional to 482.25 and 761.25

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Solution

The third proportional to 482.25 and 761.25 is: 1,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 761.25 = 761.25 : x
  2. Step 2: Convert to fraction form
    482.25/761.25 = 761.25/x
  3. Step 3: Cross multiply
    482.25x = 761.25 × 761.25
  4. Step 4: Simplify right side
    482.25x = 579,501.56
  5. Step 5: Solve for x
    x = 579,501.56/482.25
  6. Step 6: Final answer
    x = 1,201.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.