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Finding the Third Proportional to 354,704.50 and 778,392

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Solution

The third proportional to 354,704.50 and 778,392 is: 1,708,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,704.50 : 778,392 = 778,392 : x
  2. Step 2: Convert to fraction form
    354,704.50/778,392 = 778,392/x
  3. Step 3: Cross multiply
    354,704.50x = 778,392 × 778,392
  4. Step 4: Simplify right side
    354,704.50x = 605,894,105,664
  5. Step 5: Solve for x
    x = 605,894,105,664/354,704.50
  6. Step 6: Final answer
    x = 1,708,165.83

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