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Finding the Third Proportional to 524.25 and 1,130.06

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Solution

The third proportional to 524.25 and 1,130.06 is: 2,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.25 : 1,130.06 = 1,130.06 : x
  2. Step 2: Convert to fraction form
    524.25/1,130.06 = 1,130.06/x
  3. Step 3: Cross multiply
    524.25x = 1,130.06 × 1,130.06
  4. Step 4: Simplify right side
    524.25x = 1,277,041.25
  5. Step 5: Solve for x
    x = 1,277,041.25/524.25
  6. Step 6: Final answer
    x = 2,435.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.