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Finding the Third Proportional to 350,579 and 765,998

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Solution

The third proportional to 350,579 and 765,998 is: 1,673,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,579 : 765,998 = 765,998 : x
  2. Step 2: Convert to fraction form
    350,579/765,998 = 765,998/x
  3. Step 3: Cross multiply
    350,579x = 765,998 × 765,998
  4. Step 4: Simplify right side
    350,579x = 586,752,936,004
  5. Step 5: Solve for x
    x = 586,752,936,004/350,579
  6. Step 6: Final answer
    x = 1,673,668.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.