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Finding the Third Proportional to 479,463.19 and 727,942.50

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Solution

The third proportional to 479,463.19 and 727,942.50 is: 1,105,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,463.19 : 727,942.50 = 727,942.50 : x
  2. Step 2: Convert to fraction form
    479,463.19/727,942.50 = 727,942.50/x
  3. Step 3: Cross multiply
    479,463.19x = 727,942.50 × 727,942.50
  4. Step 4: Simplify right side
    479,463.19x = 529,900,283,306.25
  5. Step 5: Solve for x
    x = 529,900,283,306.25/479,463.19
  6. Step 6: Final answer
    x = 1,105,194.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.