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Finding the Third Proportional to 277,752 and 597,696

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Solution

The third proportional to 277,752 and 597,696 is: 1,286,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,752 : 597,696 = 597,696 : x
  2. Step 2: Convert to fraction form
    277,752/597,696 = 597,696/x
  3. Step 3: Cross multiply
    277,752x = 597,696 × 597,696
  4. Step 4: Simplify right side
    277,752x = 357,240,508,416
  5. Step 5: Solve for x
    x = 357,240,508,416/277,752
  6. Step 6: Final answer
    x = 1,286,185.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.