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Finding the Third Proportional to 277,037 and 598,378

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Solution

The third proportional to 277,037 and 598,378 is: 1,292,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,037 : 598,378 = 598,378 : x
  2. Step 2: Convert to fraction form
    277,037/598,378 = 598,378/x
  3. Step 3: Cross multiply
    277,037x = 598,378 × 598,378
  4. Step 4: Simplify right side
    277,037x = 358,056,230,884
  5. Step 5: Solve for x
    x = 358,056,230,884/277,037
  6. Step 6: Final answer
    x = 1,292,449.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.