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Finding the Third Proportional to 291.94 and 507.09

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Solution

The third proportional to 291.94 and 507.09 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 507.09 = 507.09 : x
  2. Step 2: Convert to fraction form
    291.94/507.09 = 507.09/x
  3. Step 3: Cross multiply
    291.94x = 507.09 × 507.09
  4. Step 4: Simplify right side
    291.94x = 257,144.07
  5. Step 5: Solve for x
    x = 257,144.07/291.94
  6. Step 6: Final answer
    x = 880.82

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.