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Finding the Third Proportional to 390,330 and 852,093

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Solution

The third proportional to 390,330 and 852,093 is: 1,860,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,330 : 852,093 = 852,093 : x
  2. Step 2: Convert to fraction form
    390,330/852,093 = 852,093/x
  3. Step 3: Cross multiply
    390,330x = 852,093 × 852,093
  4. Step 4: Simplify right side
    390,330x = 726,062,480,649
  5. Step 5: Solve for x
    x = 726,062,480,649/390,330
  6. Step 6: Final answer
    x = 1,860,124.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.