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Finding the Third Proportional to 327,143 and 492,353

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Solution

The third proportional to 327,143 and 492,353 is: 740,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,143 : 492,353 = 492,353 : x
  2. Step 2: Convert to fraction form
    327,143/492,353 = 492,353/x
  3. Step 3: Cross multiply
    327,143x = 492,353 × 492,353
  4. Step 4: Simplify right side
    327,143x = 242,411,476,609
  5. Step 5: Solve for x
    x = 242,411,476,609/327,143
  6. Step 6: Final answer
    x = 740,995.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.