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Finding the Third Proportional to 298,812 and 647,436

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Solution

The third proportional to 298,812 and 647,436 is: 1,402,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812 : 647,436 = 647,436 : x
  2. Step 2: Convert to fraction form
    298,812/647,436 = 647,436/x
  3. Step 3: Cross multiply
    298,812x = 647,436 × 647,436
  4. Step 4: Simplify right side
    298,812x = 419,173,374,096
  5. Step 5: Solve for x
    x = 419,173,374,096/298,812
  6. Step 6: Final answer
    x = 1,402,799.67

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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.