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Finding the Third Proportional to 298,864 and 462,744

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Solution

The third proportional to 298,864 and 462,744 is: 716,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864 : 462,744 = 462,744 : x
  2. Step 2: Convert to fraction form
    298,864/462,744 = 462,744/x
  3. Step 3: Cross multiply
    298,864x = 462,744 × 462,744
  4. Step 4: Simplify right side
    298,864x = 214,132,009,536
  5. Step 5: Solve for x
    x = 214,132,009,536/298,864
  6. Step 6: Final answer
    x = 716,486.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.