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Finding the Third Proportional to 324,975.38 and 502,214.63

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Solution

The third proportional to 324,975.38 and 502,214.63 is: 776,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,975.38 : 502,214.63 = 502,214.63 : x
  2. Step 2: Convert to fraction form
    324,975.38/502,214.63 = 502,214.63/x
  3. Step 3: Cross multiply
    324,975.38x = 502,214.63 × 502,214.63
  4. Step 4: Simplify right side
    324,975.38x = 252,219,529,563.89
  5. Step 5: Solve for x
    x = 252,219,529,563.89/324,975.38
  6. Step 6: Final answer
    x = 776,118.90

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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.