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Finding the Third Proportional to 467,346 and 700,245

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Solution

The third proportional to 467,346 and 700,245 is: 1,049,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,346 : 700,245 = 700,245 : x
  2. Step 2: Convert to fraction form
    467,346/700,245 = 700,245/x
  3. Step 3: Cross multiply
    467,346x = 700,245 × 700,245
  4. Step 4: Simplify right side
    467,346x = 490,343,060,025
  5. Step 5: Solve for x
    x = 490,343,060,025/467,346
  6. Step 6: Final answer
    x = 1,049,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.