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Finding the Third Proportional to 399,478.50 and 561,894

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Solution

The third proportional to 399,478.50 and 561,894 is: 790,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,478.50 : 561,894 = 561,894 : x
  2. Step 2: Convert to fraction form
    399,478.50/561,894 = 561,894/x
  3. Step 3: Cross multiply
    399,478.50x = 561,894 × 561,894
  4. Step 4: Simplify right side
    399,478.50x = 315,724,867,236
  5. Step 5: Solve for x
    x = 315,724,867,236/399,478.50
  6. Step 6: Final answer
    x = 790,342.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.