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Finding the Third Proportional to 299,250 and 459,939

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Solution

The third proportional to 299,250 and 459,939 is: 706,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,250 : 459,939 = 459,939 : x
  2. Step 2: Convert to fraction form
    299,250/459,939 = 459,939/x
  3. Step 3: Cross multiply
    299,250x = 459,939 × 459,939
  4. Step 4: Simplify right side
    299,250x = 211,543,883,721
  5. Step 5: Solve for x
    x = 211,543,883,721/299,250
  6. Step 6: Final answer
    x = 706,913.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.