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Finding the Third Proportional to 504.84 and 790.17

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Solution

The third proportional to 504.84 and 790.17 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 790.17 = 790.17 : x
  2. Step 2: Convert to fraction form
    504.84/790.17 = 790.17/x
  3. Step 3: Cross multiply
    504.84x = 790.17 × 790.17
  4. Step 4: Simplify right side
    504.84x = 624,371.59
  5. Step 5: Solve for x
    x = 624,371.59/504.84
  6. Step 6: Final answer
    x = 1,236.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.