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Finding the Third Proportional to 359,862 and 775,083

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Solution

The third proportional to 359,862 and 775,083 is: 1,669,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,862 : 775,083 = 775,083 : x
  2. Step 2: Convert to fraction form
    359,862/775,083 = 775,083/x
  3. Step 3: Cross multiply
    359,862x = 775,083 × 775,083
  4. Step 4: Simplify right side
    359,862x = 600,753,656,889
  5. Step 5: Solve for x
    x = 600,753,656,889/359,862
  6. Step 6: Final answer
    x = 1,669,400.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.