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Finding the Third Proportional to 306,064 and 459,098

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Solution

The third proportional to 306,064 and 459,098 is: 688,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064 : 459,098 = 459,098 : x
  2. Step 2: Convert to fraction form
    306,064/459,098 = 459,098/x
  3. Step 3: Cross multiply
    306,064x = 459,098 × 459,098
  4. Step 4: Simplify right side
    306,064x = 210,770,973,604
  5. Step 5: Solve for x
    x = 210,770,973,604/306,064
  6. Step 6: Final answer
    x = 688,650.00

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Why These Related Problems?

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