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Finding the Third Proportional to 505,856 and 757,464

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Solution

The third proportional to 505,856 and 757,464 is: 1,134,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,856 : 757,464 = 757,464 : x
  2. Step 2: Convert to fraction form
    505,856/757,464 = 757,464/x
  3. Step 3: Cross multiply
    505,856x = 757,464 × 757,464
  4. Step 4: Simplify right side
    505,856x = 573,751,711,296
  5. Step 5: Solve for x
    x = 573,751,711,296/505,856
  6. Step 6: Final answer
    x = 1,134,219.44

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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.