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Finding the Third Proportional to 329,762 and 612,388

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Solution

The third proportional to 329,762 and 612,388 is: 1,137,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,762 : 612,388 = 612,388 : x
  2. Step 2: Convert to fraction form
    329,762/612,388 = 612,388/x
  3. Step 3: Cross multiply
    329,762x = 612,388 × 612,388
  4. Step 4: Simplify right side
    329,762x = 375,019,062,544
  5. Step 5: Solve for x
    x = 375,019,062,544/329,762
  6. Step 6: Final answer
    x = 1,137,241.59

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.