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Finding the Third Proportional to 407.63 and 872.25

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Solution

The third proportional to 407.63 and 872.25 is: 1,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.63 : 872.25 = 872.25 : x
  2. Step 2: Convert to fraction form
    407.63/872.25 = 872.25/x
  3. Step 3: Cross multiply
    407.63x = 872.25 × 872.25
  4. Step 4: Simplify right side
    407.63x = 760,820.06
  5. Step 5: Solve for x
    x = 760,820.06/407.63
  6. Step 6: Final answer
    x = 1,866.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.