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Finding the Third Proportional to 358,054 and 788,096

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Solution

The third proportional to 358,054 and 788,096 is: 1,734,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,054 : 788,096 = 788,096 : x
  2. Step 2: Convert to fraction form
    358,054/788,096 = 788,096/x
  3. Step 3: Cross multiply
    358,054x = 788,096 × 788,096
  4. Step 4: Simplify right side
    358,054x = 621,095,305,216
  5. Step 5: Solve for x
    x = 621,095,305,216/358,054
  6. Step 6: Final answer
    x = 1,734,641.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.