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Finding the Third Proportional to 407,314 and 894,324

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Solution

The third proportional to 407,314 and 894,324 is: 1,963,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,314 : 894,324 = 894,324 : x
  2. Step 2: Convert to fraction form
    407,314/894,324 = 894,324/x
  3. Step 3: Cross multiply
    407,314x = 894,324 × 894,324
  4. Step 4: Simplify right side
    407,314x = 799,815,416,976
  5. Step 5: Solve for x
    x = 799,815,416,976/407,314
  6. Step 6: Final answer
    x = 1,963,633.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.