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Finding the Third Proportional to 494,953 and 772,010

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Solution

The third proportional to 494,953 and 772,010 is: 1,204,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,953 : 772,010 = 772,010 : x
  2. Step 2: Convert to fraction form
    494,953/772,010 = 772,010/x
  3. Step 3: Cross multiply
    494,953x = 772,010 × 772,010
  4. Step 4: Simplify right side
    494,953x = 595,999,440,100
  5. Step 5: Solve for x
    x = 595,999,440,100/494,953
  6. Step 6: Final answer
    x = 1,204,153.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.