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Finding the Third Proportional to 505,926 and 758,646

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Solution

The third proportional to 505,926 and 758,646 is: 1,137,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,926 : 758,646 = 758,646 : x
  2. Step 2: Convert to fraction form
    505,926/758,646 = 758,646/x
  3. Step 3: Cross multiply
    505,926x = 758,646 × 758,646
  4. Step 4: Simplify right side
    505,926x = 575,543,753,316
  5. Step 5: Solve for x
    x = 575,543,753,316/505,926
  6. Step 6: Final answer
    x = 1,137,604.62

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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.