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Finding the Third Proportional to 429,143 and 649,238

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Solution

The third proportional to 429,143 and 649,238 is: 982,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,143 : 649,238 = 649,238 : x
  2. Step 2: Convert to fraction form
    429,143/649,238 = 649,238/x
  3. Step 3: Cross multiply
    429,143x = 649,238 × 649,238
  4. Step 4: Simplify right side
    429,143x = 421,509,980,644
  5. Step 5: Solve for x
    x = 421,509,980,644/429,143
  6. Step 6: Final answer
    x = 982,213.34

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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.