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Finding the Third Proportional to 298,046 and 648,484

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Solution

The third proportional to 298,046 and 648,484 is: 1,410,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,046 : 648,484 = 648,484 : x
  2. Step 2: Convert to fraction form
    298,046/648,484 = 648,484/x
  3. Step 3: Cross multiply
    298,046x = 648,484 × 648,484
  4. Step 4: Simplify right side
    298,046x = 420,531,498,256
  5. Step 5: Solve for x
    x = 420,531,498,256/298,046
  6. Step 6: Final answer
    x = 1,410,961.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.