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Finding the Third Proportional to 315,849 and 684,900

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Solution

The third proportional to 315,849 and 684,900 is: 1,485,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,849 : 684,900 = 684,900 : x
  2. Step 2: Convert to fraction form
    315,849/684,900 = 684,900/x
  3. Step 3: Cross multiply
    315,849x = 684,900 × 684,900
  4. Step 4: Simplify right side
    315,849x = 469,088,010,000
  5. Step 5: Solve for x
    x = 469,088,010,000/315,849
  6. Step 6: Final answer
    x = 1,485,165.41

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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.