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Finding the Third Proportional to 379,526 and 821,388

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Solution

The third proportional to 379,526 and 821,388 is: 1,777,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,526 : 821,388 = 821,388 : x
  2. Step 2: Convert to fraction form
    379,526/821,388 = 821,388/x
  3. Step 3: Cross multiply
    379,526x = 821,388 × 821,388
  4. Step 4: Simplify right side
    379,526x = 674,678,246,544
  5. Step 5: Solve for x
    x = 674,678,246,544/379,526
  6. Step 6: Final answer
    x = 1,777,686.50

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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.