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Finding the Third Proportional to 605,190 and 879,408

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Solution

The third proportional to 605,190 and 879,408 is: 1,277,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,190 : 879,408 = 879,408 : x
  2. Step 2: Convert to fraction form
    605,190/879,408 = 879,408/x
  3. Step 3: Cross multiply
    605,190x = 879,408 × 879,408
  4. Step 4: Simplify right side
    605,190x = 773,358,430,464
  5. Step 5: Solve for x
    x = 773,358,430,464/605,190
  6. Step 6: Final answer
    x = 1,277,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.