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Finding the Third Proportional to 298,806 and 647,396

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Solution

The third proportional to 298,806 and 647,396 is: 1,402,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806 : 647,396 = 647,396 : x
  2. Step 2: Convert to fraction form
    298,806/647,396 = 647,396/x
  3. Step 3: Cross multiply
    298,806x = 647,396 × 647,396
  4. Step 4: Simplify right side
    298,806x = 419,121,580,816
  5. Step 5: Solve for x
    x = 419,121,580,816/298,806
  6. Step 6: Final answer
    x = 1,402,654.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.