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Finding the Third Proportional to 255,122 and 558,582

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Solution

The third proportional to 255,122 and 558,582 is: 1,222,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,122 : 558,582 = 558,582 : x
  2. Step 2: Convert to fraction form
    255,122/558,582 = 558,582/x
  3. Step 3: Cross multiply
    255,122x = 558,582 × 558,582
  4. Step 4: Simplify right side
    255,122x = 312,013,850,724
  5. Step 5: Solve for x
    x = 312,013,850,724/255,122
  6. Step 6: Final answer
    x = 1,222,998.61

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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.