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Finding the Third Proportional to 277,047 and 598,401

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Solution

The third proportional to 277,047 and 598,401 is: 1,292,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,047 : 598,401 = 598,401 : x
  2. Step 2: Convert to fraction form
    277,047/598,401 = 598,401/x
  3. Step 3: Cross multiply
    277,047x = 598,401 × 598,401
  4. Step 4: Simplify right side
    277,047x = 358,083,756,801
  5. Step 5: Solve for x
    x = 358,083,756,801/277,047
  6. Step 6: Final answer
    x = 1,292,501.84

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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.