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Finding the Third Proportional to 350,990 and 758,022

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Solution

The third proportional to 350,990 and 758,022 is: 1,637,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,990 : 758,022 = 758,022 : x
  2. Step 2: Convert to fraction form
    350,990/758,022 = 758,022/x
  3. Step 3: Cross multiply
    350,990x = 758,022 × 758,022
  4. Step 4: Simplify right side
    350,990x = 574,597,352,484
  5. Step 5: Solve for x
    x = 574,597,352,484/350,990
  6. Step 6: Final answer
    x = 1,637,076.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.