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Finding the Third Proportional to 275,322.75 and 609,603.75

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Solution

The third proportional to 275,322.75 and 609,603.75 is: 1,349,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,322.75 : 609,603.75 = 609,603.75 : x
  2. Step 2: Convert to fraction form
    275,322.75/609,603.75 = 609,603.75/x
  3. Step 3: Cross multiply
    275,322.75x = 609,603.75 × 609,603.75
  4. Step 4: Simplify right side
    275,322.75x = 371,616,732,014.06
  5. Step 5: Solve for x
    x = 371,616,732,014.06/275,322.75
  6. Step 6: Final answer
    x = 1,349,749.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.