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Finding the Third Proportional to 379,942 and 601,624.50

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Solution

The third proportional to 379,942 and 601,624.50 is: 952,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,942 : 601,624.50 = 601,624.50 : x
  2. Step 2: Convert to fraction form
    379,942/601,624.50 = 601,624.50/x
  3. Step 3: Cross multiply
    379,942x = 601,624.50 × 601,624.50
  4. Step 4: Simplify right side
    379,942x = 361,952,039,000.25
  5. Step 5: Solve for x
    x = 361,952,039,000.25/379,942
  6. Step 6: Final answer
    x = 952,650.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.