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Finding the Third Proportional to 240,869 and 346,413

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Solution

The third proportional to 240,869 and 346,413 is: 498,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,869 : 346,413 = 346,413 : x
  2. Step 2: Convert to fraction form
    240,869/346,413 = 346,413/x
  3. Step 3: Cross multiply
    240,869x = 346,413 × 346,413
  4. Step 4: Simplify right side
    240,869x = 120,001,966,569
  5. Step 5: Solve for x
    x = 120,001,966,569/240,869
  6. Step 6: Final answer
    x = 498,204.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.