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Finding the Third Proportional to 354,945 and 775,392

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Solution

The third proportional to 354,945 and 775,392 is: 1,693,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,945 : 775,392 = 775,392 : x
  2. Step 2: Convert to fraction form
    354,945/775,392 = 775,392/x
  3. Step 3: Cross multiply
    354,945x = 775,392 × 775,392
  4. Step 4: Simplify right side
    354,945x = 601,232,753,664
  5. Step 5: Solve for x
    x = 601,232,753,664/354,945
  6. Step 6: Final answer
    x = 1,693,875.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.