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Finding the Third Proportional to 517,500 and 773,064

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Solution

The third proportional to 517,500 and 773,064 is: 1,154,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,500 : 773,064 = 773,064 : x
  2. Step 2: Convert to fraction form
    517,500/773,064 = 773,064/x
  3. Step 3: Cross multiply
    517,500x = 773,064 × 773,064
  4. Step 4: Simplify right side
    517,500x = 597,627,948,096
  5. Step 5: Solve for x
    x = 597,627,948,096/517,500
  6. Step 6: Final answer
    x = 1,154,836.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.