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Finding the Third Proportional to 236,922 and 559,291

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Solution

The third proportional to 236,922 and 559,291 is: 1,320,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,922 : 559,291 = 559,291 : x
  2. Step 2: Convert to fraction form
    236,922/559,291 = 559,291/x
  3. Step 3: Cross multiply
    236,922x = 559,291 × 559,291
  4. Step 4: Simplify right side
    236,922x = 312,806,422,681
  5. Step 5: Solve for x
    x = 312,806,422,681/236,922
  6. Step 6: Final answer
    x = 1,320,292.85

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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.