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Finding the Third Proportional to 358,116 and 772,269

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Solution

The third proportional to 358,116 and 772,269 is: 1,665,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,116 : 772,269 = 772,269 : x
  2. Step 2: Convert to fraction form
    358,116/772,269 = 772,269/x
  3. Step 3: Cross multiply
    358,116x = 772,269 × 772,269
  4. Step 4: Simplify right side
    358,116x = 596,399,408,361
  5. Step 5: Solve for x
    x = 596,399,408,361/358,116
  6. Step 6: Final answer
    x = 1,665,380.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.