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Finding the Third Proportional to 247,206 and 529,407

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Solution

The third proportional to 247,206 and 529,407 is: 1,133,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,206 : 529,407 = 529,407 : x
  2. Step 2: Convert to fraction form
    247,206/529,407 = 529,407/x
  3. Step 3: Cross multiply
    247,206x = 529,407 × 529,407
  4. Step 4: Simplify right side
    247,206x = 280,271,771,649
  5. Step 5: Solve for x
    x = 280,271,771,649/247,206
  6. Step 6: Final answer
    x = 1,133,757.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.