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Finding the Third Proportional to 648,330.75 and 951,476.63

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Solution

The third proportional to 648,330.75 and 951,476.63 is: 1,396,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,330.75 : 951,476.63 = 951,476.63 : x
  2. Step 2: Convert to fraction form
    648,330.75/951,476.63 = 951,476.63/x
  3. Step 3: Cross multiply
    648,330.75x = 951,476.63 × 951,476.63
  4. Step 4: Simplify right side
    648,330.75x = 905,307,767,921.39
  5. Step 5: Solve for x
    x = 905,307,767,921.39/648,330.75
  6. Step 6: Final answer
    x = 1,396,367.16

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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.