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Finding the Third Proportional to 294.47 and 647.16

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Solution

The third proportional to 294.47 and 647.16 is: 1,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 647.16 = 647.16 : x
  2. Step 2: Convert to fraction form
    294.47/647.16 = 647.16/x
  3. Step 3: Cross multiply
    294.47x = 647.16 × 647.16
  4. Step 4: Simplify right side
    294.47x = 418,811.21
  5. Step 5: Solve for x
    x = 418,811.21/294.47
  6. Step 6: Final answer
    x = 1,422.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.