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Finding the Third Proportional to 291,071 and 636,241

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Solution

The third proportional to 291,071 and 636,241 is: 1,390,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,071 : 636,241 = 636,241 : x
  2. Step 2: Convert to fraction form
    291,071/636,241 = 636,241/x
  3. Step 3: Cross multiply
    291,071x = 636,241 × 636,241
  4. Step 4: Simplify right side
    291,071x = 404,802,610,081
  5. Step 5: Solve for x
    x = 404,802,610,081/291,071
  6. Step 6: Final answer
    x = 1,390,734.94

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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.