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Finding the Third Proportional to 479,463.56 and 727,943.44

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Solution

The third proportional to 479,463.56 and 727,943.44 is: 1,105,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,463.56 : 727,943.44 = 727,943.44 : x
  2. Step 2: Convert to fraction form
    479,463.56/727,943.44 = 727,943.44/x
  3. Step 3: Cross multiply
    479,463.56x = 727,943.44 × 727,943.44
  4. Step 4: Simplify right side
    479,463.56x = 529,901,648,199.32
  5. Step 5: Solve for x
    x = 529,901,648,199.32/479,463.56
  6. Step 6: Final answer
    x = 1,105,196.91

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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.