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Finding the Third Proportional to 268,068.75 and 577,326

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Solution

The third proportional to 268,068.75 and 577,326 is: 1,243,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,068.75 : 577,326 = 577,326 : x
  2. Step 2: Convert to fraction form
    268,068.75/577,326 = 577,326/x
  3. Step 3: Cross multiply
    268,068.75x = 577,326 × 577,326
  4. Step 4: Simplify right side
    268,068.75x = 333,305,310,276
  5. Step 5: Solve for x
    x = 333,305,310,276/268,068.75
  6. Step 6: Final answer
    x = 1,243,357.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.