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Finding the Third Proportional to 354,946 and 775,394

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Solution

The third proportional to 354,946 and 775,394 is: 1,693,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,946 : 775,394 = 775,394 : x
  2. Step 2: Convert to fraction form
    354,946/775,394 = 775,394/x
  3. Step 3: Cross multiply
    354,946x = 775,394 × 775,394
  4. Step 4: Simplify right side
    354,946x = 601,235,855,236
  5. Step 5: Solve for x
    x = 601,235,855,236/354,946
  6. Step 6: Final answer
    x = 1,693,879.79

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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.