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Finding the Third Proportional to 322,869.38 and 503,924.63

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Solution

The third proportional to 322,869.38 and 503,924.63 is: 786,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,869.38 : 503,924.63 = 503,924.63 : x
  2. Step 2: Convert to fraction form
    322,869.38/503,924.63 = 503,924.63/x
  3. Step 3: Cross multiply
    322,869.38x = 503,924.63 × 503,924.63
  4. Step 4: Simplify right side
    322,869.38x = 253,940,027,681.39
  5. Step 5: Solve for x
    x = 253,940,027,681.39/322,869.38
  6. Step 6: Final answer
    x = 786,510.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.