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Finding the Third Proportional to 501.84 and 666.09

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Solution

The third proportional to 501.84 and 666.09 is: 884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 666.09 = 666.09 : x
  2. Step 2: Convert to fraction form
    501.84/666.09 = 666.09/x
  3. Step 3: Cross multiply
    501.84x = 666.09 × 666.09
  4. Step 4: Simplify right side
    501.84x = 443,680.88
  5. Step 5: Solve for x
    x = 443,680.88/501.84
  6. Step 6: Final answer
    x = 884.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.