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Finding the Third Proportional to 302.48 and 662.58

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Solution

The third proportional to 302.48 and 662.58 is: 1,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 662.58 = 662.58 : x
  2. Step 2: Convert to fraction form
    302.48/662.58 = 662.58/x
  3. Step 3: Cross multiply
    302.48x = 662.58 × 662.58
  4. Step 4: Simplify right side
    302.48x = 439,009.77
  5. Step 5: Solve for x
    x = 439,009.77/302.48
  6. Step 6: Final answer
    x = 1,451.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.