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Finding the Third Proportional to 474,852 and 739,510

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Solution

The third proportional to 474,852 and 739,510 is: 1,151,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,852 : 739,510 = 739,510 : x
  2. Step 2: Convert to fraction form
    474,852/739,510 = 739,510/x
  3. Step 3: Cross multiply
    474,852x = 739,510 × 739,510
  4. Step 4: Simplify right side
    474,852x = 546,875,040,100
  5. Step 5: Solve for x
    x = 546,875,040,100/474,852
  6. Step 6: Final answer
    x = 1,151,674.71

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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.