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Finding the Third Proportional to 315,872 and 684,232

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Solution

The third proportional to 315,872 and 684,232 is: 1,482,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,872 : 684,232 = 684,232 : x
  2. Step 2: Convert to fraction form
    315,872/684,232 = 684,232/x
  3. Step 3: Cross multiply
    315,872x = 684,232 × 684,232
  4. Step 4: Simplify right side
    315,872x = 468,173,429,824
  5. Step 5: Solve for x
    x = 468,173,429,824/315,872
  6. Step 6: Final answer
    x = 1,482,161.86

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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.