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Finding the Third Proportional to 291,926 and 439,976.50

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Solution

The third proportional to 291,926 and 439,976.50 is: 663,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,926 : 439,976.50 = 439,976.50 : x
  2. Step 2: Convert to fraction form
    291,926/439,976.50 = 439,976.50/x
  3. Step 3: Cross multiply
    291,926x = 439,976.50 × 439,976.50
  4. Step 4: Simplify right side
    291,926x = 193,579,320,552.25
  5. Step 5: Solve for x
    x = 193,579,320,552.25/291,926
  6. Step 6: Final answer
    x = 663,110.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.