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Finding the Third Proportional to 605,196 and 879,417

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Solution

The third proportional to 605,196 and 879,417 is: 1,277,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,196 : 879,417 = 879,417 : x
  2. Step 2: Convert to fraction form
    605,196/879,417 = 879,417/x
  3. Step 3: Cross multiply
    605,196x = 879,417 × 879,417
  4. Step 4: Simplify right side
    605,196x = 773,374,259,889
  5. Step 5: Solve for x
    x = 773,374,259,889/605,196
  6. Step 6: Final answer
    x = 1,277,890.57

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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.