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Finding the Third Proportional to 507.38 and 713.63

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Solution

The third proportional to 507.38 and 713.63 is: 1,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 713.63 = 713.63 : x
  2. Step 2: Convert to fraction form
    507.38/713.63 = 713.63/x
  3. Step 3: Cross multiply
    507.38x = 713.63 × 713.63
  4. Step 4: Simplify right side
    507.38x = 509,260.64
  5. Step 5: Solve for x
    x = 509,260.64/507.38
  6. Step 6: Final answer
    x = 1,003.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.