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Finding the Third Proportional to 677,703 and 903,483

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Solution

The third proportional to 677,703 and 903,483 is: 1,204,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,703 : 903,483 = 903,483 : x
  2. Step 2: Convert to fraction form
    677,703/903,483 = 903,483/x
  3. Step 3: Cross multiply
    677,703x = 903,483 × 903,483
  4. Step 4: Simplify right side
    677,703x = 816,281,531,289
  5. Step 5: Solve for x
    x = 816,281,531,289/677,703
  6. Step 6: Final answer
    x = 1,204,482.69

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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.