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Finding the Third Proportional to 273,918 and 586,500

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Solution

The third proportional to 273,918 and 586,500 is: 1,255,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,918 : 586,500 = 586,500 : x
  2. Step 2: Convert to fraction form
    273,918/586,500 = 586,500/x
  3. Step 3: Cross multiply
    273,918x = 586,500 × 586,500
  4. Step 4: Simplify right side
    273,918x = 343,982,250,000
  5. Step 5: Solve for x
    x = 343,982,250,000/273,918
  6. Step 6: Final answer
    x = 1,255,785.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.