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Finding the Third Proportional to 236,911 and 559,267

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Solution

The third proportional to 236,911 and 559,267 is: 1,320,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,911 : 559,267 = 559,267 : x
  2. Step 2: Convert to fraction form
    236,911/559,267 = 559,267/x
  3. Step 3: Cross multiply
    236,911x = 559,267 × 559,267
  4. Step 4: Simplify right side
    236,911x = 312,779,577,289
  5. Step 5: Solve for x
    x = 312,779,577,289/236,911
  6. Step 6: Final answer
    x = 1,320,240.84

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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.