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Finding the Third Proportional to 291.02 and 597.52

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Solution

The third proportional to 291.02 and 597.52 is: 1,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.02 : 597.52 = 597.52 : x
  2. Step 2: Convert to fraction form
    291.02/597.52 = 597.52/x
  3. Step 3: Cross multiply
    291.02x = 597.52 × 597.52
  4. Step 4: Simplify right side
    291.02x = 357,024.92
  5. Step 5: Solve for x
    x = 357,024.92/291.02
  6. Step 6: Final answer
    x = 1,226.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.