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Finding the Third Proportional to 322,896 and 503,964

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Solution

The third proportional to 322,896 and 503,964 is: 786,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,896 : 503,964 = 503,964 : x
  2. Step 2: Convert to fraction form
    322,896/503,964 = 503,964/x
  3. Step 3: Cross multiply
    322,896x = 503,964 × 503,964
  4. Step 4: Simplify right side
    322,896x = 253,979,713,296
  5. Step 5: Solve for x
    x = 253,979,713,296/322,896
  6. Step 6: Final answer
    x = 786,568.16

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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.