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Finding the Third Proportional to 315,224 and 684,031

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Solution

The third proportional to 315,224 and 684,031 is: 1,484,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,224 : 684,031 = 684,031 : x
  2. Step 2: Convert to fraction form
    315,224/684,031 = 684,031/x
  3. Step 3: Cross multiply
    315,224x = 684,031 × 684,031
  4. Step 4: Simplify right side
    315,224x = 467,898,408,961
  5. Step 5: Solve for x
    x = 467,898,408,961/315,224
  6. Step 6: Final answer
    x = 1,484,336.25

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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.