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Finding the Third Proportional to 648,335.25 and 951,467.63

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Solution

The third proportional to 648,335.25 and 951,467.63 is: 1,396,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,335.25 : 951,467.63 = 951,467.63 : x
  2. Step 2: Convert to fraction form
    648,335.25/951,467.63 = 951,467.63/x
  3. Step 3: Cross multiply
    648,335.25x = 951,467.63 × 951,467.63
  4. Step 4: Simplify right side
    648,335.25x = 905,290,641,423.14
  5. Step 5: Solve for x
    x = 905,290,641,423.14/648,335.25
  6. Step 6: Final answer
    x = 1,396,331.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.