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Finding the Third Proportional to 315,496 and 684,224

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Solution

The third proportional to 315,496 and 684,224 is: 1,483,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,496 : 684,224 = 684,224 : x
  2. Step 2: Convert to fraction form
    315,496/684,224 = 684,224/x
  3. Step 3: Cross multiply
    315,496x = 684,224 × 684,224
  4. Step 4: Simplify right side
    315,496x = 468,162,482,176
  5. Step 5: Solve for x
    x = 468,162,482,176/315,496
  6. Step 6: Final answer
    x = 1,483,893.56

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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.