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Finding the Third Proportional to 273,103.50 and 559,326

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Solution

The third proportional to 273,103.50 and 559,326 is: 1,145,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,103.50 : 559,326 = 559,326 : x
  2. Step 2: Convert to fraction form
    273,103.50/559,326 = 559,326/x
  3. Step 3: Cross multiply
    273,103.50x = 559,326 × 559,326
  4. Step 4: Simplify right side
    273,103.50x = 312,845,574,276
  5. Step 5: Solve for x
    x = 312,845,574,276/273,103.50
  6. Step 6: Final answer
    x = 1,145,520.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.