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Finding the Third Proportional to 265,968 and 569,298

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Solution

The third proportional to 265,968 and 569,298 is: 1,218,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,968 : 569,298 = 569,298 : x
  2. Step 2: Convert to fraction form
    265,968/569,298 = 569,298/x
  3. Step 3: Cross multiply
    265,968x = 569,298 × 569,298
  4. Step 4: Simplify right side
    265,968x = 324,100,212,804
  5. Step 5: Solve for x
    x = 324,100,212,804/265,968
  6. Step 6: Final answer
    x = 1,218,568.45

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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.