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Finding the Third Proportional to 353,173.50 and 772,364.25

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Solution

The third proportional to 353,173.50 and 772,364.25 is: 1,689,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,173.50 : 772,364.25 = 772,364.25 : x
  2. Step 2: Convert to fraction form
    353,173.50/772,364.25 = 772,364.25/x
  3. Step 3: Cross multiply
    353,173.50x = 772,364.25 × 772,364.25
  4. Step 4: Simplify right side
    353,173.50x = 596,546,534,678.06
  5. Step 5: Solve for x
    x = 596,546,534,678.06/353,173.50
  6. Step 6: Final answer
    x = 1,689,103.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.