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Finding the Third Proportional to 306,028 and 459,042

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Solution

The third proportional to 306,028 and 459,042 is: 688,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,028 : 459,042 = 459,042 : x
  2. Step 2: Convert to fraction form
    306,028/459,042 = 459,042/x
  3. Step 3: Cross multiply
    306,028x = 459,042 × 459,042
  4. Step 4: Simplify right side
    306,028x = 210,719,557,764
  5. Step 5: Solve for x
    x = 210,719,557,764/306,028
  6. Step 6: Final answer
    x = 688,563

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.