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Finding the Third Proportional to 299,252 and 459,942

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Solution

The third proportional to 299,252 and 459,942 is: 706,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,252 : 459,942 = 459,942 : x
  2. Step 2: Convert to fraction form
    299,252/459,942 = 459,942/x
  3. Step 3: Cross multiply
    299,252x = 459,942 × 459,942
  4. Step 4: Simplify right side
    299,252x = 211,546,643,364
  5. Step 5: Solve for x
    x = 211,546,643,364/299,252
  6. Step 6: Final answer
    x = 706,918.06

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