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Finding the Third Proportional to 234,052 and 512,552

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Solution

The third proportional to 234,052 and 512,552 is: 1,122,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,052 : 512,552 = 512,552 : x
  2. Step 2: Convert to fraction form
    234,052/512,552 = 512,552/x
  3. Step 3: Cross multiply
    234,052x = 512,552 × 512,552
  4. Step 4: Simplify right side
    234,052x = 262,709,552,704
  5. Step 5: Solve for x
    x = 262,709,552,704/234,052
  6. Step 6: Final answer
    x = 1,122,440.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.