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Finding the Third Proportional to 524.63 and 1,215.94

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Solution

The third proportional to 524.63 and 1,215.94 is: 2,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 1,215.94 = 1,215.94 : x
  2. Step 2: Convert to fraction form
    524.63/1,215.94 = 1,215.94/x
  3. Step 3: Cross multiply
    524.63x = 1,215.94 × 1,215.94
  4. Step 4: Simplify right side
    524.63x = 1,478,504.00
  5. Step 5: Solve for x
    x = 1,478,504.00/524.63
  6. Step 6: Final answer
    x = 2,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.