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Finding the Third Proportional to 453.94 and 507.09

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Solution

The third proportional to 453.94 and 507.09 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 507.09 = 507.09 : x
  2. Step 2: Convert to fraction form
    453.94/507.09 = 507.09/x
  3. Step 3: Cross multiply
    453.94x = 507.09 × 507.09
  4. Step 4: Simplify right side
    453.94x = 257,144.07
  5. Step 5: Solve for x
    x = 257,144.07/453.94
  6. Step 6: Final answer
    x = 566.47

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.