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Finding the Third Proportional to 341,019 and 533,781

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Solution

The third proportional to 341,019 and 533,781 is: 835,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,019 : 533,781 = 533,781 : x
  2. Step 2: Convert to fraction form
    341,019/533,781 = 533,781/x
  3. Step 3: Cross multiply
    341,019x = 533,781 × 533,781
  4. Step 4: Simplify right side
    341,019x = 284,922,155,961
  5. Step 5: Solve for x
    x = 284,922,155,961/341,019
  6. Step 6: Final answer
    x = 835,502.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.