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Finding the Third Proportional to 298,819.50 and 647,418

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Solution

The third proportional to 298,819.50 and 647,418 is: 1,402,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,819.50 : 647,418 = 647,418 : x
  2. Step 2: Convert to fraction form
    298,819.50/647,418 = 647,418/x
  3. Step 3: Cross multiply
    298,819.50x = 647,418 × 647,418
  4. Step 4: Simplify right side
    298,819.50x = 419,150,066,724
  5. Step 5: Solve for x
    x = 419,150,066,724/298,819.50
  6. Step 6: Final answer
    x = 1,402,686.46

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