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Finding the Third Proportional to 323,670 and 718,080

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Solution

The third proportional to 323,670 and 718,080 is: 1,593,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,670 : 718,080 = 718,080 : x
  2. Step 2: Convert to fraction form
    323,670/718,080 = 718,080/x
  3. Step 3: Cross multiply
    323,670x = 718,080 × 718,080
  4. Step 4: Simplify right side
    323,670x = 515,638,886,400
  5. Step 5: Solve for x
    x = 515,638,886,400/323,670
  6. Step 6: Final answer
    x = 1,593,100.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.