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Finding the Third Proportional to 298,884 and 625,464

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Solution

The third proportional to 298,884 and 625,464 is: 1,308,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,884 : 625,464 = 625,464 : x
  2. Step 2: Convert to fraction form
    298,884/625,464 = 625,464/x
  3. Step 3: Cross multiply
    298,884x = 625,464 × 625,464
  4. Step 4: Simplify right side
    298,884x = 391,205,215,296
  5. Step 5: Solve for x
    x = 391,205,215,296/298,884
  6. Step 6: Final answer
    x = 1,308,886.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.