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Finding the Third Proportional to 505,071.70 and 757,584.77

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Solution

The third proportional to 505,071.70 and 757,584.77 is: 1,136,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,071.70 : 757,584.77 = 757,584.77 : x
  2. Step 2: Convert to fraction form
    505,071.70/757,584.77 = 757,584.77/x
  3. Step 3: Cross multiply
    505,071.70x = 757,584.77 × 757,584.77
  4. Step 4: Simplify right side
    505,071.70x = 573,934,688,944.35
  5. Step 5: Solve for x
    x = 573,934,688,944.35/505,071.70
  6. Step 6: Final answer
    x = 1,136,342.99

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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.