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Finding the Third Proportional to 460,252 and 621,832

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Solution

The third proportional to 460,252 and 621,832 is: 840,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,252 : 621,832 = 621,832 : x
  2. Step 2: Convert to fraction form
    460,252/621,832 = 621,832/x
  3. Step 3: Cross multiply
    460,252x = 621,832 × 621,832
  4. Step 4: Simplify right side
    460,252x = 386,675,036,224
  5. Step 5: Solve for x
    x = 386,675,036,224/460,252
  6. Step 6: Final answer
    x = 840,137.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.