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Finding the Third Proportional to 236,919 and 559,283

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Solution

The third proportional to 236,919 and 559,283 is: 1,320,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,919 : 559,283 = 559,283 : x
  2. Step 2: Convert to fraction form
    236,919/559,283 = 559,283/x
  3. Step 3: Cross multiply
    236,919x = 559,283 × 559,283
  4. Step 4: Simplify right side
    236,919x = 312,797,474,089
  5. Step 5: Solve for x
    x = 312,797,474,089/236,919
  6. Step 6: Final answer
    x = 1,320,271.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.