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Finding the Third Proportional to 258,246 and 559,377

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Solution

The third proportional to 258,246 and 559,377 is: 1,211,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,246 : 559,377 = 559,377 : x
  2. Step 2: Convert to fraction form
    258,246/559,377 = 559,377/x
  3. Step 3: Cross multiply
    258,246x = 559,377 × 559,377
  4. Step 4: Simplify right side
    258,246x = 312,902,628,129
  5. Step 5: Solve for x
    x = 312,902,628,129/258,246
  6. Step 6: Final answer
    x = 1,211,645.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.