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Finding the Third Proportional to 552,522 and 779,881

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Solution

The third proportional to 552,522 and 779,881 is: 1,100,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,522 : 779,881 = 779,881 : x
  2. Step 2: Convert to fraction form
    552,522/779,881 = 779,881/x
  3. Step 3: Cross multiply
    552,522x = 779,881 × 779,881
  4. Step 4: Simplify right side
    552,522x = 608,214,374,161
  5. Step 5: Solve for x
    x = 608,214,374,161/552,522
  6. Step 6: Final answer
    x = 1,100,796.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.