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Finding the Third Proportional to 331,084 and 512,552

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Solution

The third proportional to 331,084 and 512,552 is: 793,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,084 : 512,552 = 512,552 : x
  2. Step 2: Convert to fraction form
    331,084/512,552 = 512,552/x
  3. Step 3: Cross multiply
    331,084x = 512,552 × 512,552
  4. Step 4: Simplify right side
    331,084x = 262,709,552,704
  5. Step 5: Solve for x
    x = 262,709,552,704/331,084
  6. Step 6: Final answer
    x = 793,483.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.