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Finding the Third Proportional to 272,864 and 559,252

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Solution

The third proportional to 272,864 and 559,252 is: 1,146,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,864 : 559,252 = 559,252 : x
  2. Step 2: Convert to fraction form
    272,864/559,252 = 559,252/x
  3. Step 3: Cross multiply
    272,864x = 559,252 × 559,252
  4. Step 4: Simplify right side
    272,864x = 312,762,799,504
  5. Step 5: Solve for x
    x = 312,762,799,504/272,864
  6. Step 6: Final answer
    x = 1,146,222.29

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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.