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Finding the Third Proportional to 263,374 and 621,477

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Solution

The third proportional to 263,374 and 621,477 is: 1,466,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,374 : 621,477 = 621,477 : x
  2. Step 2: Convert to fraction form
    263,374/621,477 = 621,477/x
  3. Step 3: Cross multiply
    263,374x = 621,477 × 621,477
  4. Step 4: Simplify right side
    263,374x = 386,233,661,529
  5. Step 5: Solve for x
    x = 386,233,661,529/263,374
  6. Step 6: Final answer
    x = 1,466,483.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.