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Finding the Third Proportional to 622.44 and 1,354.63

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Solution

The third proportional to 622.44 and 1,354.63 is: 2,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.44 : 1,354.63 = 1,354.63 : x
  2. Step 2: Convert to fraction form
    622.44/1,354.63 = 1,354.63/x
  3. Step 3: Cross multiply
    622.44x = 1,354.63 × 1,354.63
  4. Step 4: Simplify right side
    622.44x = 1,835,008.89
  5. Step 5: Solve for x
    x = 1,835,008.89/622.44
  6. Step 6: Final answer
    x = 2,948.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.