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Finding the Third Proportional to 524.81 and 1,106.53

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Solution

The third proportional to 524.81 and 1,106.53 is: 2,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 1,106.53 = 1,106.53 : x
  2. Step 2: Convert to fraction form
    524.81/1,106.53 = 1,106.53/x
  3. Step 3: Cross multiply
    524.81x = 1,106.53 × 1,106.53
  4. Step 4: Simplify right side
    524.81x = 1,224,411.41
  5. Step 5: Solve for x
    x = 1,224,411.41/524.81
  6. Step 6: Final answer
    x = 2,333.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.