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Finding the Third Proportional to 523.13 and 973.13

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Solution

The third proportional to 523.13 and 973.13 is: 1,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 973.13 = 973.13 : x
  2. Step 2: Convert to fraction form
    523.13/973.13 = 973.13/x
  3. Step 3: Cross multiply
    523.13x = 973.13 × 973.13
  4. Step 4: Simplify right side
    523.13x = 946,972.27
  5. Step 5: Solve for x
    x = 946,972.27/523.13
  6. Step 6: Final answer
    x = 1,810.22

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.