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Finding the Third Proportional to 354,942 and 770,086.50

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Solution

The third proportional to 354,942 and 770,086.50 is: 1,670,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,942 : 770,086.50 = 770,086.50 : x
  2. Step 2: Convert to fraction form
    354,942/770,086.50 = 770,086.50/x
  3. Step 3: Cross multiply
    354,942x = 770,086.50 × 770,086.50
  4. Step 4: Simplify right side
    354,942x = 593,033,217,482.25
  5. Step 5: Solve for x
    x = 593,033,217,482.25/354,942
  6. Step 6: Final answer
    x = 1,670,789.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.