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Finding the Third Proportional to 450,288 and 951,240

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Solution

The third proportional to 450,288 and 951,240 is: 2,009,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,288 : 951,240 = 951,240 : x
  2. Step 2: Convert to fraction form
    450,288/951,240 = 951,240/x
  3. Step 3: Cross multiply
    450,288x = 951,240 × 951,240
  4. Step 4: Simplify right side
    450,288x = 904,857,537,600
  5. Step 5: Solve for x
    x = 904,857,537,600/450,288
  6. Step 6: Final answer
    x = 2,009,508.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.