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Finding the Third Proportional to 296.58 and 652.64

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Solution

The third proportional to 296.58 and 652.64 is: 1,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.58 : 652.64 = 652.64 : x
  2. Step 2: Convert to fraction form
    296.58/652.64 = 652.64/x
  3. Step 3: Cross multiply
    296.58x = 652.64 × 652.64
  4. Step 4: Simplify right side
    296.58x = 425,939.79
  5. Step 5: Solve for x
    x = 425,939.79/296.58
  6. Step 6: Final answer
    x = 1,436.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.