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Finding the Third Proportional to 258,498.84 and 568,024.84

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Solution

The third proportional to 258,498.84 and 568,024.84 is: 1,248,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,498.84 : 568,024.84 = 568,024.84 : x
  2. Step 2: Convert to fraction form
    258,498.84/568,024.84 = 568,024.84/x
  3. Step 3: Cross multiply
    258,498.84x = 568,024.84 × 568,024.84
  4. Step 4: Simplify right side
    258,498.84x = 322,652,218,679.52
  5. Step 5: Solve for x
    x = 322,652,218,679.52/258,498.84
  6. Step 6: Final answer
    x = 1,248,176.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.