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Finding the Third Proportional to 677,762 and 903,578

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Solution

The third proportional to 677,762 and 903,578 is: 1,204,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,762 : 903,578 = 903,578 : x
  2. Step 2: Convert to fraction form
    677,762/903,578 = 903,578/x
  3. Step 3: Cross multiply
    677,762x = 903,578 × 903,578
  4. Step 4: Simplify right side
    677,762x = 816,453,202,084
  5. Step 5: Solve for x
    x = 816,453,202,084/677,762
  6. Step 6: Final answer
    x = 1,204,631.13

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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.