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Finding the Third Proportional to 524.75 and 812.13

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Solution

The third proportional to 524.75 and 812.13 is: 1,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 812.13 = 812.13 : x
  2. Step 2: Convert to fraction form
    524.75/812.13 = 812.13/x
  3. Step 3: Cross multiply
    524.75x = 812.13 × 812.13
  4. Step 4: Simplify right side
    524.75x = 659,547.02
  5. Step 5: Solve for x
    x = 659,547.02/524.75
  6. Step 6: Final answer
    x = 1,256.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.