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Finding the Third Proportional to 401,403 and 620,092.50

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Solution

The third proportional to 401,403 and 620,092.50 is: 957,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,403 : 620,092.50 = 620,092.50 : x
  2. Step 2: Convert to fraction form
    401,403/620,092.50 = 620,092.50/x
  3. Step 3: Cross multiply
    401,403x = 620,092.50 × 620,092.50
  4. Step 4: Simplify right side
    401,403x = 384,514,708,556.25
  5. Step 5: Solve for x
    x = 384,514,708,556.25/401,403
  6. Step 6: Final answer
    x = 957,926.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.