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Finding the Third Proportional to 258,728 and 565,549.75

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Solution

The third proportional to 258,728 and 565,549.75 is: 1,236,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,728 : 565,549.75 = 565,549.75 : x
  2. Step 2: Convert to fraction form
    258,728/565,549.75 = 565,549.75/x
  3. Step 3: Cross multiply
    258,728x = 565,549.75 × 565,549.75
  4. Step 4: Simplify right side
    258,728x = 319,846,519,725.06
  5. Step 5: Solve for x
    x = 319,846,519,725.06/258,728
  6. Step 6: Final answer
    x = 1,236,226.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.