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Finding the Third Proportional to 362,690 and 544,351

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Solution

The third proportional to 362,690 and 544,351 is: 817,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,690 : 544,351 = 544,351 : x
  2. Step 2: Convert to fraction form
    362,690/544,351 = 544,351/x
  3. Step 3: Cross multiply
    362,690x = 544,351 × 544,351
  4. Step 4: Simplify right side
    362,690x = 296,318,011,201
  5. Step 5: Solve for x
    x = 296,318,011,201/362,690
  6. Step 6: Final answer
    x = 817,000.78

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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.