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Finding the Third Proportional to 258,810 and 548,724

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Solution

The third proportional to 258,810 and 548,724 is: 1,163,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,810 : 548,724 = 548,724 : x
  2. Step 2: Convert to fraction form
    258,810/548,724 = 548,724/x
  3. Step 3: Cross multiply
    258,810x = 548,724 × 548,724
  4. Step 4: Simplify right side
    258,810x = 301,098,028,176
  5. Step 5: Solve for x
    x = 301,098,028,176/258,810
  6. Step 6: Final answer
    x = 1,163,394.10

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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.