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Finding the Third Proportional to 505.41 and 761.06

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Solution

The third proportional to 505.41 and 761.06 is: 1,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.41 : 761.06 = 761.06 : x
  2. Step 2: Convert to fraction form
    505.41/761.06 = 761.06/x
  3. Step 3: Cross multiply
    505.41x = 761.06 × 761.06
  4. Step 4: Simplify right side
    505.41x = 579,216.13
  5. Step 5: Solve for x
    x = 579,216.13/505.41
  6. Step 6: Final answer
    x = 1,146.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.