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Finding the Third Proportional to 324,844 and 502,033

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Solution

The third proportional to 324,844 and 502,033 is: 775,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,844 : 502,033 = 502,033 : x
  2. Step 2: Convert to fraction form
    324,844/502,033 = 502,033/x
  3. Step 3: Cross multiply
    324,844x = 502,033 × 502,033
  4. Step 4: Simplify right side
    324,844x = 252,037,133,089
  5. Step 5: Solve for x
    x = 252,037,133,089/324,844
  6. Step 6: Final answer
    x = 775,871.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.