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Finding the Third Proportional to 669,438 and 936,333

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Solution

The third proportional to 669,438 and 936,333 is: 1,309,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,438 : 936,333 = 936,333 : x
  2. Step 2: Convert to fraction form
    669,438/936,333 = 936,333/x
  3. Step 3: Cross multiply
    669,438x = 936,333 × 936,333
  4. Step 4: Simplify right side
    669,438x = 876,719,486,889
  5. Step 5: Solve for x
    x = 876,719,486,889/669,438
  6. Step 6: Final answer
    x = 1,309,635.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.