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Finding the Third Proportional to 599,208 and 1,272,288

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Solution

The third proportional to 599,208 and 1,272,288 is: 2,701,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,208 : 1,272,288 = 1,272,288 : x
  2. Step 2: Convert to fraction form
    599,208/1,272,288 = 1,272,288/x
  3. Step 3: Cross multiply
    599,208x = 1,272,288 × 1,272,288
  4. Step 4: Simplify right side
    599,208x = 1,618,716,754,944
  5. Step 5: Solve for x
    x = 1,618,716,754,944/599,208
  6. Step 6: Final answer
    x = 2,701,427.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.