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Finding the Third Proportional to 323,280 and 701,856

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Solution

The third proportional to 323,280 and 701,856 is: 1,523,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,280 : 701,856 = 701,856 : x
  2. Step 2: Convert to fraction form
    323,280/701,856 = 701,856/x
  3. Step 3: Cross multiply
    323,280x = 701,856 × 701,856
  4. Step 4: Simplify right side
    323,280x = 492,601,844,736
  5. Step 5: Solve for x
    x = 492,601,844,736/323,280
  6. Step 6: Final answer
    x = 1,523,762.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.