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Finding the Third Proportional to 547,152 and 874,087

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Solution

The third proportional to 547,152 and 874,087 is: 1,396,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,152 : 874,087 = 874,087 : x
  2. Step 2: Convert to fraction form
    547,152/874,087 = 874,087/x
  3. Step 3: Cross multiply
    547,152x = 874,087 × 874,087
  4. Step 4: Simplify right side
    547,152x = 764,028,083,569
  5. Step 5: Solve for x
    x = 764,028,083,569/547,152
  6. Step 6: Final answer
    x = 1,396,372.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.