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Finding the Third Proportional to 449.75 and 607.63

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Solution

The third proportional to 449.75 and 607.63 is: 820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 607.63 = 607.63 : x
  2. Step 2: Convert to fraction form
    449.75/607.63 = 607.63/x
  3. Step 3: Cross multiply
    449.75x = 607.63 × 607.63
  4. Step 4: Simplify right side
    449.75x = 369,208.14
  5. Step 5: Solve for x
    x = 369,208.14/449.75
  6. Step 6: Final answer
    x = 820.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.