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Finding the Third Proportional to 224,097 and 482,178

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Solution

The third proportional to 224,097 and 482,178 is: 1,037,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,097 : 482,178 = 482,178 : x
  2. Step 2: Convert to fraction form
    224,097/482,178 = 482,178/x
  3. Step 3: Cross multiply
    224,097x = 482,178 × 482,178
  4. Step 4: Simplify right side
    224,097x = 232,495,623,684
  5. Step 5: Solve for x
    x = 232,495,623,684/224,097
  6. Step 6: Final answer
    x = 1,037,477.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.