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Finding the Third Proportional to 298,653 and 644,814

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Solution

The third proportional to 298,653 and 644,814 is: 1,392,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,653 : 644,814 = 644,814 : x
  2. Step 2: Convert to fraction form
    298,653/644,814 = 644,814/x
  3. Step 3: Cross multiply
    298,653x = 644,814 × 644,814
  4. Step 4: Simplify right side
    298,653x = 415,785,094,596
  5. Step 5: Solve for x
    x = 415,785,094,596/298,653
  6. Step 6: Final answer
    x = 1,392,201.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.