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Finding the Third Proportional to 277,844,554.69 and 604,114,822.69

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Solution

The third proportional to 277,844,554.69 and 604,114,822.69 is: 1,313,521,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844,554.69 : 604,114,822.69 = 604,114,822.69 : x
  2. Step 2: Convert to fraction form
    277,844,554.69/604,114,822.69 = 604,114,822.69/x
  3. Step 3: Cross multiply
    277,844,554.69x = 604,114,822.69 × 604,114,822.69
  4. Step 4: Simplify right side
    277,844,554.69x = 364,954,718,990,749,568
  5. Step 5: Solve for x
    x = 364,954,718,990,749,568/277,844,554.69
  6. Step 6: Final answer
    x = 1,313,521,221.97

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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.