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Finding the Third Proportional to 336,629 and 505,808

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Solution

The third proportional to 336,629 and 505,808 is: 760,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,629 : 505,808 = 505,808 : x
  2. Step 2: Convert to fraction form
    336,629/505,808 = 505,808/x
  3. Step 3: Cross multiply
    336,629x = 505,808 × 505,808
  4. Step 4: Simplify right side
    336,629x = 255,841,732,864
  5. Step 5: Solve for x
    x = 255,841,732,864/336,629
  6. Step 6: Final answer
    x = 760,010.97

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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.