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Finding the Third Proportional to 538.13 and 715.88

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Solution

The third proportional to 538.13 and 715.88 is: 952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 715.88 = 715.88 : x
  2. Step 2: Convert to fraction form
    538.13/715.88 = 715.88/x
  3. Step 3: Cross multiply
    538.13x = 715.88 × 715.88
  4. Step 4: Simplify right side
    538.13x = 512,477.02
  5. Step 5: Solve for x
    x = 512,477.02/538.13
  6. Step 6: Final answer
    x = 952.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.