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Finding the Third Proportional to 234,742 and 512,500

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Solution

The third proportional to 234,742 and 512,500 is: 1,118,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,742 : 512,500 = 512,500 : x
  2. Step 2: Convert to fraction form
    234,742/512,500 = 512,500/x
  3. Step 3: Cross multiply
    234,742x = 512,500 × 512,500
  4. Step 4: Simplify right side
    234,742x = 262,656,250,000
  5. Step 5: Solve for x
    x = 262,656,250,000/234,742
  6. Step 6: Final answer
    x = 1,118,914.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.