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Finding the Third Proportional to 224,430 and 491,094

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Solution

The third proportional to 224,430 and 491,094 is: 1,074,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430 : 491,094 = 491,094 : x
  2. Step 2: Convert to fraction form
    224,430/491,094 = 491,094/x
  3. Step 3: Cross multiply
    224,430x = 491,094 × 491,094
  4. Step 4: Simplify right side
    224,430x = 241,173,316,836
  5. Step 5: Solve for x
    x = 241,173,316,836/224,430
  6. Step 6: Final answer
    x = 1,074,603.74

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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.