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Finding the Third Proportional to 504.21 and 1,088.09

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Solution

The third proportional to 504.21 and 1,088.09 is: 2,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.21 : 1,088.09 = 1,088.09 : x
  2. Step 2: Convert to fraction form
    504.21/1,088.09 = 1,088.09/x
  3. Step 3: Cross multiply
    504.21x = 1,088.09 × 1,088.09
  4. Step 4: Simplify right side
    504.21x = 1,183,931.01
  5. Step 5: Solve for x
    x = 1,183,931.01/504.21
  6. Step 6: Final answer
    x = 2,348.09

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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.