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Finding the Third Proportional to 474,848 and 739,504

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Solution

The third proportional to 474,848 and 739,504 is: 1,151,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,848 : 739,504 = 739,504 : x
  2. Step 2: Convert to fraction form
    474,848/739,504 = 739,504/x
  3. Step 3: Cross multiply
    474,848x = 739,504 × 739,504
  4. Step 4: Simplify right side
    474,848x = 546,866,166,016
  5. Step 5: Solve for x
    x = 546,866,166,016/474,848
  6. Step 6: Final answer
    x = 1,151,665.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.