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Finding the Third Proportional to 306,684 and 660,024

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Solution

The third proportional to 306,684 and 660,024 is: 1,420,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,684 : 660,024 = 660,024 : x
  2. Step 2: Convert to fraction form
    306,684/660,024 = 660,024/x
  3. Step 3: Cross multiply
    306,684x = 660,024 × 660,024
  4. Step 4: Simplify right side
    306,684x = 435,631,680,576
  5. Step 5: Solve for x
    x = 435,631,680,576/306,684
  6. Step 6: Final answer
    x = 1,420,457.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.