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Finding the Third Proportional to 566.63 and 1,264.31

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Solution

The third proportional to 566.63 and 1,264.31 is: 2,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 1,264.31 = 1,264.31 : x
  2. Step 2: Convert to fraction form
    566.63/1,264.31 = 1,264.31/x
  3. Step 3: Cross multiply
    566.63x = 1,264.31 × 1,264.31
  4. Step 4: Simplify right side
    566.63x = 1,598,486.10
  5. Step 5: Solve for x
    x = 1,598,486.10/566.63
  6. Step 6: Final answer
    x = 2,821.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.