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Finding the Third Proportional to 270,928 and 586,400

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Solution

The third proportional to 270,928 and 586,400 is: 1,269,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,928 : 586,400 = 586,400 : x
  2. Step 2: Convert to fraction form
    270,928/586,400 = 586,400/x
  3. Step 3: Cross multiply
    270,928x = 586,400 × 586,400
  4. Step 4: Simplify right side
    270,928x = 343,864,960,000
  5. Step 5: Solve for x
    x = 343,864,960,000/270,928
  6. Step 6: Final answer
    x = 1,269,211.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.