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Finding the Third Proportional to 523.13 and 1,225.13

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Solution

The third proportional to 523.13 and 1,225.13 is: 2,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 1,225.13 = 1,225.13 : x
  2. Step 2: Convert to fraction form
    523.13/1,225.13 = 1,225.13/x
  3. Step 3: Cross multiply
    523.13x = 1,225.13 × 1,225.13
  4. Step 4: Simplify right side
    523.13x = 1,500,931.27
  5. Step 5: Solve for x
    x = 1,500,931.27/523.13
  6. Step 6: Final answer
    x = 2,869.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.