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Finding the Third Proportional to 547,246 and 874,211

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Solution

The third proportional to 547,246 and 874,211 is: 1,396,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,246 : 874,211 = 874,211 : x
  2. Step 2: Convert to fraction form
    547,246/874,211 = 874,211/x
  3. Step 3: Cross multiply
    547,246x = 874,211 × 874,211
  4. Step 4: Simplify right side
    547,246x = 764,244,872,521
  5. Step 5: Solve for x
    x = 764,244,872,521/547,246
  6. Step 6: Final answer
    x = 1,396,528.93

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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.