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Finding the Third Proportional to 277,576 and 598,365

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Solution

The third proportional to 277,576 and 598,365 is: 1,289,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,576 : 598,365 = 598,365 : x
  2. Step 2: Convert to fraction form
    277,576/598,365 = 598,365/x
  3. Step 3: Cross multiply
    277,576x = 598,365 × 598,365
  4. Step 4: Simplify right side
    277,576x = 358,040,673,225
  5. Step 5: Solve for x
    x = 358,040,673,225/277,576
  6. Step 6: Final answer
    x = 1,289,883.39

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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.