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Finding the Third Proportional to 250,849 and 535,717

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Solution

The third proportional to 250,849 and 535,717 is: 1,144,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,849 : 535,717 = 535,717 : x
  2. Step 2: Convert to fraction form
    250,849/535,717 = 535,717/x
  3. Step 3: Cross multiply
    250,849x = 535,717 × 535,717
  4. Step 4: Simplify right side
    250,849x = 286,992,704,089
  5. Step 5: Solve for x
    x = 286,992,704,089/250,849
  6. Step 6: Final answer
    x = 1,144,085.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.