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Finding the Third Proportional to 299,313 and 437,298

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Solution

The third proportional to 299,313 and 437,298 is: 638,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,313 : 437,298 = 437,298 : x
  2. Step 2: Convert to fraction form
    299,313/437,298 = 437,298/x
  3. Step 3: Cross multiply
    299,313x = 437,298 × 437,298
  4. Step 4: Simplify right side
    299,313x = 191,229,540,804
  5. Step 5: Solve for x
    x = 191,229,540,804/299,313
  6. Step 6: Final answer
    x = 638,894.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.