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Finding the Third Proportional to 272,898 and 559,308

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Solution

The third proportional to 272,898 and 559,308 is: 1,146,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898 : 559,308 = 559,308 : x
  2. Step 2: Convert to fraction form
    272,898/559,308 = 559,308/x
  3. Step 3: Cross multiply
    272,898x = 559,308 × 559,308
  4. Step 4: Simplify right side
    272,898x = 312,825,438,864
  5. Step 5: Solve for x
    x = 312,825,438,864/272,898
  6. Step 6: Final answer
    x = 1,146,309.02

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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.