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Finding the Third Proportional to 287,944 and 633,114

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Solution

The third proportional to 287,944 and 633,114 is: 1,392,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,944 : 633,114 = 633,114 : x
  2. Step 2: Convert to fraction form
    287,944/633,114 = 633,114/x
  3. Step 3: Cross multiply
    287,944x = 633,114 × 633,114
  4. Step 4: Simplify right side
    287,944x = 400,833,336,996
  5. Step 5: Solve for x
    x = 400,833,336,996/287,944
  6. Step 6: Final answer
    x = 1,392,053.10

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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.