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Finding the Third Proportional to 277,752 and 594,867

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Solution

The third proportional to 277,752 and 594,867 is: 1,274,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,752 : 594,867 = 594,867 : x
  2. Step 2: Convert to fraction form
    277,752/594,867 = 594,867/x
  3. Step 3: Cross multiply
    277,752x = 594,867 × 594,867
  4. Step 4: Simplify right side
    277,752x = 353,866,747,689
  5. Step 5: Solve for x
    x = 353,866,747,689/277,752
  6. Step 6: Final answer
    x = 1,274,038.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.