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Finding the Third Proportional to 302.63 and 794.81

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Solution

The third proportional to 302.63 and 794.81 is: 2,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.63 : 794.81 = 794.81 : x
  2. Step 2: Convert to fraction form
    302.63/794.81 = 794.81/x
  3. Step 3: Cross multiply
    302.63x = 794.81 × 794.81
  4. Step 4: Simplify right side
    302.63x = 631,726.91
  5. Step 5: Solve for x
    x = 631,726.91/302.63
  6. Step 6: Final answer
    x = 2,087.49

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.