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Finding the Third Proportional to 631,524 and 966,230

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Solution

The third proportional to 631,524 and 966,230 is: 1,478,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,524 : 966,230 = 966,230 : x
  2. Step 2: Convert to fraction form
    631,524/966,230 = 966,230/x
  3. Step 3: Cross multiply
    631,524x = 966,230 × 966,230
  4. Step 4: Simplify right side
    631,524x = 933,600,412,900
  5. Step 5: Solve for x
    x = 933,600,412,900/631,524
  6. Step 6: Final answer
    x = 1,478,329.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.