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Finding the Third Proportional to 524.44 and 829.78

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Solution

The third proportional to 524.44 and 829.78 is: 1,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.44 : 829.78 = 829.78 : x
  2. Step 2: Convert to fraction form
    524.44/829.78 = 829.78/x
  3. Step 3: Cross multiply
    524.44x = 829.78 × 829.78
  4. Step 4: Simplify right side
    524.44x = 688,536.92
  5. Step 5: Solve for x
    x = 688,536.92/524.44
  6. Step 6: Final answer
    x = 1,312.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.