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Finding the Third Proportional to 322,883 and 503,948

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Solution

The third proportional to 322,883 and 503,948 is: 786,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,883 : 503,948 = 503,948 : x
  2. Step 2: Convert to fraction form
    322,883/503,948 = 503,948/x
  3. Step 3: Cross multiply
    322,883x = 503,948 × 503,948
  4. Step 4: Simplify right side
    322,883x = 253,963,586,704
  5. Step 5: Solve for x
    x = 253,963,586,704/322,883
  6. Step 6: Final answer
    x = 786,549.89

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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.