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Finding the Third Proportional to 254,364 and 502,326

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Solution

The third proportional to 254,364 and 502,326 is: 992,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,364 : 502,326 = 502,326 : x
  2. Step 2: Convert to fraction form
    254,364/502,326 = 502,326/x
  3. Step 3: Cross multiply
    254,364x = 502,326 × 502,326
  4. Step 4: Simplify right side
    254,364x = 252,331,410,276
  5. Step 5: Solve for x
    x = 252,331,410,276/254,364
  6. Step 6: Final answer
    x = 992,009.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.