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Finding the Third Proportional to 276,345 and 599,346

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Solution

The third proportional to 276,345 and 599,346 is: 1,299,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,345 : 599,346 = 599,346 : x
  2. Step 2: Convert to fraction form
    276,345/599,346 = 599,346/x
  3. Step 3: Cross multiply
    276,345x = 599,346 × 599,346
  4. Step 4: Simplify right side
    276,345x = 359,215,627,716
  5. Step 5: Solve for x
    x = 359,215,627,716/276,345
  6. Step 6: Final answer
    x = 1,299,881.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.