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Finding the Third Proportional to 380,298 and 569,262

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Solution

The third proportional to 380,298 and 569,262 is: 852,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,298 : 569,262 = 569,262 : x
  2. Step 2: Convert to fraction form
    380,298/569,262 = 569,262/x
  3. Step 3: Cross multiply
    380,298x = 569,262 × 569,262
  4. Step 4: Simplify right side
    380,298x = 324,059,224,644
  5. Step 5: Solve for x
    x = 324,059,224,644/380,298
  6. Step 6: Final answer
    x = 852,119.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.