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Finding the Third Proportional to 258,579 and 548,464.50

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Solution

The third proportional to 258,579 and 548,464.50 is: 1,163,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,579 : 548,464.50 = 548,464.50 : x
  2. Step 2: Convert to fraction form
    258,579/548,464.50 = 548,464.50/x
  3. Step 3: Cross multiply
    258,579x = 548,464.50 × 548,464.50
  4. Step 4: Simplify right side
    258,579x = 300,813,307,760.25
  5. Step 5: Solve for x
    x = 300,813,307,760.25/258,579
  6. Step 6: Final answer
    x = 1,163,332.32

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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.