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Finding the Third Proportional to 733,764 and 978,445

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Solution

The third proportional to 733,764 and 978,445 is: 1,304,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,764 : 978,445 = 978,445 : x
  2. Step 2: Convert to fraction form
    733,764/978,445 = 978,445/x
  3. Step 3: Cross multiply
    733,764x = 978,445 × 978,445
  4. Step 4: Simplify right side
    733,764x = 957,354,618,025
  5. Step 5: Solve for x
    x = 957,354,618,025/733,764
  6. Step 6: Final answer
    x = 1,304,717.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.