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Finding the Third Proportional to 356,487 and 774,453

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Solution

The third proportional to 356,487 and 774,453 is: 1,682,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,487 : 774,453 = 774,453 : x
  2. Step 2: Convert to fraction form
    356,487/774,453 = 774,453/x
  3. Step 3: Cross multiply
    356,487x = 774,453 × 774,453
  4. Step 4: Simplify right side
    356,487x = 599,777,449,209
  5. Step 5: Solve for x
    x = 599,777,449,209/356,487
  6. Step 6: Final answer
    x = 1,682,466.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.