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Finding the Third Proportional to 248,042 and 543,377

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Solution

The third proportional to 248,042 and 543,377 is: 1,190,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,042 : 543,377 = 543,377 : x
  2. Step 2: Convert to fraction form
    248,042/543,377 = 543,377/x
  3. Step 3: Cross multiply
    248,042x = 543,377 × 543,377
  4. Step 4: Simplify right side
    248,042x = 295,258,564,129
  5. Step 5: Solve for x
    x = 295,258,564,129/248,042
  6. Step 6: Final answer
    x = 1,190,357.13

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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.