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Finding the Third Proportional to 277,910 and 586,444

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Solution

The third proportional to 277,910 and 586,444 is: 1,237,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,910 : 586,444 = 586,444 : x
  2. Step 2: Convert to fraction form
    277,910/586,444 = 586,444/x
  3. Step 3: Cross multiply
    277,910x = 586,444 × 586,444
  4. Step 4: Simplify right side
    277,910x = 343,916,565,136
  5. Step 5: Solve for x
    x = 343,916,565,136/277,910
  6. Step 6: Final answer
    x = 1,237,510.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.