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Finding the Third Proportional to 258,768 and 548,640

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Solution

The third proportional to 258,768 and 548,640 is: 1,163,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,768 : 548,640 = 548,640 : x
  2. Step 2: Convert to fraction form
    258,768/548,640 = 548,640/x
  3. Step 3: Cross multiply
    258,768x = 548,640 × 548,640
  4. Step 4: Simplify right side
    258,768x = 301,005,849,600
  5. Step 5: Solve for x
    x = 301,005,849,600/258,768
  6. Step 6: Final answer
    x = 1,163,226.71

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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.