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Finding the Third Proportional to 275,417 and 583,898

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Solution

The third proportional to 275,417 and 583,898 is: 1,237,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,417 : 583,898 = 583,898 : x
  2. Step 2: Convert to fraction form
    275,417/583,898 = 583,898/x
  3. Step 3: Cross multiply
    275,417x = 583,898 × 583,898
  4. Step 4: Simplify right side
    275,417x = 340,936,874,404
  5. Step 5: Solve for x
    x = 340,936,874,404/275,417
  6. Step 6: Final answer
    x = 1,237,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.