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Finding the Third Proportional to 279,465 and 606,190.50

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Solution

The third proportional to 279,465 and 606,190.50 is: 1,314,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,465 : 606,190.50 = 606,190.50 : x
  2. Step 2: Convert to fraction form
    279,465/606,190.50 = 606,190.50/x
  3. Step 3: Cross multiply
    279,465x = 606,190.50 × 606,190.50
  4. Step 4: Simplify right side
    279,465x = 367,466,922,290.25
  5. Step 5: Solve for x
    x = 367,466,922,290.25/279,465
  6. Step 6: Final answer
    x = 1,314,894.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.