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Finding the Third Proportional to 299,098 and 459,732

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Solution

The third proportional to 299,098 and 459,732 is: 706,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,098 : 459,732 = 459,732 : x
  2. Step 2: Convert to fraction form
    299,098/459,732 = 459,732/x
  3. Step 3: Cross multiply
    299,098x = 459,732 × 459,732
  4. Step 4: Simplify right side
    299,098x = 211,353,511,824
  5. Step 5: Solve for x
    x = 211,353,511,824/299,098
  6. Step 6: Final answer
    x = 706,636.33

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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.