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Finding the Third Proportional to 509.63 and 541.13

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Solution

The third proportional to 509.63 and 541.13 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 541.13 = 541.13 : x
  2. Step 2: Convert to fraction form
    509.63/541.13 = 541.13/x
  3. Step 3: Cross multiply
    509.63x = 541.13 × 541.13
  4. Step 4: Simplify right side
    509.63x = 292,816.27
  5. Step 5: Solve for x
    x = 292,816.27/509.63
  6. Step 6: Final answer
    x = 574.57

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.