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Finding the Third Proportional to 306,084 and 661,350

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Solution

The third proportional to 306,084 and 661,350 is: 1,428,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,084 : 661,350 = 661,350 : x
  2. Step 2: Convert to fraction form
    306,084/661,350 = 661,350/x
  3. Step 3: Cross multiply
    306,084x = 661,350 × 661,350
  4. Step 4: Simplify right side
    306,084x = 437,383,822,500
  5. Step 5: Solve for x
    x = 437,383,822,500/306,084
  6. Step 6: Final answer
    x = 1,428,966.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.