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Finding the Third Proportional to 277,042.78 and 598,372.31

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Solution

The third proportional to 277,042.78 and 598,372.31 is: 1,292,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,042.78 : 598,372.31 = 598,372.31 : x
  2. Step 2: Convert to fraction form
    277,042.78/598,372.31 = 598,372.31/x
  3. Step 3: Cross multiply
    277,042.78x = 598,372.31 × 598,372.31
  4. Step 4: Simplify right side
    277,042.78x = 358,049,424,366.60
  5. Step 5: Solve for x
    x = 358,049,424,366.60/277,042.78
  6. Step 6: Final answer
    x = 1,292,397.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.