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Finding the Third Proportional to 506,110 and 757,761

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Solution

The third proportional to 506,110 and 757,761 is: 1,134,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,110 : 757,761 = 757,761 : x
  2. Step 2: Convert to fraction form
    506,110/757,761 = 757,761/x
  3. Step 3: Cross multiply
    506,110x = 757,761 × 757,761
  4. Step 4: Simplify right side
    506,110x = 574,201,733,121
  5. Step 5: Solve for x
    x = 574,201,733,121/506,110
  6. Step 6: Final answer
    x = 1,134,539.39

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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.