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Finding the Third Proportional to 354,438 and 777,771

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Solution

The third proportional to 354,438 and 777,771 is: 1,706,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,438 : 777,771 = 777,771 : x
  2. Step 2: Convert to fraction form
    354,438/777,771 = 777,771/x
  3. Step 3: Cross multiply
    354,438x = 777,771 × 777,771
  4. Step 4: Simplify right side
    354,438x = 604,927,728,441
  5. Step 5: Solve for x
    x = 604,927,728,441/354,438
  6. Step 6: Final answer
    x = 1,706,723.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.