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Finding the Third Proportional to 368,085.75 and 788,659.50

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Solution

The third proportional to 368,085.75 and 788,659.50 is: 1,689,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,085.75 : 788,659.50 = 788,659.50 : x
  2. Step 2: Convert to fraction form
    368,085.75/788,659.50 = 788,659.50/x
  3. Step 3: Cross multiply
    368,085.75x = 788,659.50 × 788,659.50
  4. Step 4: Simplify right side
    368,085.75x = 621,983,806,940.25
  5. Step 5: Solve for x
    x = 621,983,806,940.25/368,085.75
  6. Step 6: Final answer
    x = 1,689,779.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.