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Finding the Third Proportional to 306,442 and 459,999

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Solution

The third proportional to 306,442 and 459,999 is: 690,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,442 : 459,999 = 459,999 : x
  2. Step 2: Convert to fraction form
    306,442/459,999 = 459,999/x
  3. Step 3: Cross multiply
    306,442x = 459,999 × 459,999
  4. Step 4: Simplify right side
    306,442x = 211,599,080,001
  5. Step 5: Solve for x
    x = 211,599,080,001/306,442
  6. Step 6: Final answer
    x = 690,502.87

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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.