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Finding the Third Proportional to 500.06 and 761.53

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Solution

The third proportional to 500.06 and 761.53 is: 1,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.06 : 761.53 = 761.53 : x
  2. Step 2: Convert to fraction form
    500.06/761.53 = 761.53/x
  3. Step 3: Cross multiply
    500.06x = 761.53 × 761.53
  4. Step 4: Simplify right side
    500.06x = 579,929.84
  5. Step 5: Solve for x
    x = 579,929.84/500.06
  6. Step 6: Final answer
    x = 1,159.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.