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Finding the Third Proportional to 359,868 and 774,222

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Solution

The third proportional to 359,868 and 774,222 is: 1,665,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,868 : 774,222 = 774,222 : x
  2. Step 2: Convert to fraction form
    359,868/774,222 = 774,222/x
  3. Step 3: Cross multiply
    359,868x = 774,222 × 774,222
  4. Step 4: Simplify right side
    359,868x = 599,419,705,284
  5. Step 5: Solve for x
    x = 599,419,705,284/359,868
  6. Step 6: Final answer
    x = 1,665,665.48

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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.