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Finding the Third Proportional to 258,812 and 548,728

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Solution

The third proportional to 258,812 and 548,728 is: 1,163,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,812 : 548,728 = 548,728 : x
  2. Step 2: Convert to fraction form
    258,812/548,728 = 548,728/x
  3. Step 3: Cross multiply
    258,812x = 548,728 × 548,728
  4. Step 4: Simplify right side
    258,812x = 301,102,417,984
  5. Step 5: Solve for x
    x = 301,102,417,984/258,812
  6. Step 6: Final answer
    x = 1,163,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.