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Finding the Third Proportional to 265,941 and 569,241

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Solution

The third proportional to 265,941 and 569,241 is: 1,218,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,941 : 569,241 = 569,241 : x
  2. Step 2: Convert to fraction form
    265,941/569,241 = 569,241/x
  3. Step 3: Cross multiply
    265,941x = 569,241 × 569,241
  4. Step 4: Simplify right side
    265,941x = 324,035,316,081
  5. Step 5: Solve for x
    x = 324,035,316,081/265,941
  6. Step 6: Final answer
    x = 1,218,448.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.