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Finding the Third Proportional to 224,310 and 492,214

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Solution

The third proportional to 224,310 and 492,214 is: 1,080,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,310 : 492,214 = 492,214 : x
  2. Step 2: Convert to fraction form
    224,310/492,214 = 492,214/x
  3. Step 3: Cross multiply
    224,310x = 492,214 × 492,214
  4. Step 4: Simplify right side
    224,310x = 242,274,621,796
  5. Step 5: Solve for x
    x = 242,274,621,796/224,310
  6. Step 6: Final answer
    x = 1,080,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.