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Finding the Third Proportional to 277,053 and 601,397

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Solution

The third proportional to 277,053 and 601,397 is: 1,305,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,053 : 601,397 = 601,397 : x
  2. Step 2: Convert to fraction form
    277,053/601,397 = 601,397/x
  3. Step 3: Cross multiply
    277,053x = 601,397 × 601,397
  4. Step 4: Simplify right side
    277,053x = 361,678,351,609
  5. Step 5: Solve for x
    x = 361,678,351,609/277,053
  6. Step 6: Final answer
    x = 1,305,448.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.