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Finding the Third Proportional to 644.63 and 1,407.19

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Solution

The third proportional to 644.63 and 1,407.19 is: 3,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.63 : 1,407.19 = 1,407.19 : x
  2. Step 2: Convert to fraction form
    644.63/1,407.19 = 1,407.19/x
  3. Step 3: Cross multiply
    644.63x = 1,407.19 × 1,407.19
  4. Step 4: Simplify right side
    644.63x = 1,980,176.66
  5. Step 5: Solve for x
    x = 1,980,176.66/644.63
  6. Step 6: Final answer
    x = 3,071.83

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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.