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Finding the Third Proportional to 239,355 and 354,411

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Solution

The third proportional to 239,355 and 354,411 is: 524,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,355 : 354,411 = 354,411 : x
  2. Step 2: Convert to fraction form
    239,355/354,411 = 354,411/x
  3. Step 3: Cross multiply
    239,355x = 354,411 × 354,411
  4. Step 4: Simplify right side
    239,355x = 125,607,156,921
  5. Step 5: Solve for x
    x = 125,607,156,921/239,355
  6. Step 6: Final answer
    x = 524,773.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.