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Finding the Third Proportional to 445,003 and 690,326

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Solution

The third proportional to 445,003 and 690,326 is: 1,070,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,003 : 690,326 = 690,326 : x
  2. Step 2: Convert to fraction form
    445,003/690,326 = 690,326/x
  3. Step 3: Cross multiply
    445,003x = 690,326 × 690,326
  4. Step 4: Simplify right side
    445,003x = 476,549,986,276
  5. Step 5: Solve for x
    x = 476,549,986,276/445,003
  6. Step 6: Final answer
    x = 1,070,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.