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Finding the Third Proportional to 677,436 and 990,723

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Solution

The third proportional to 677,436 and 990,723 is: 1,448,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,436 : 990,723 = 990,723 : x
  2. Step 2: Convert to fraction form
    677,436/990,723 = 990,723/x
  3. Step 3: Cross multiply
    677,436x = 990,723 × 990,723
  4. Step 4: Simplify right side
    677,436x = 981,532,062,729
  5. Step 5: Solve for x
    x = 981,532,062,729/677,436
  6. Step 6: Final answer
    x = 1,448,892.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.