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Finding the Third Proportional to 286,181.25 and 621,529.50

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Solution

The third proportional to 286,181.25 and 621,529.50 is: 1,349,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,181.25 : 621,529.50 = 621,529.50 : x
  2. Step 2: Convert to fraction form
    286,181.25/621,529.50 = 621,529.50/x
  3. Step 3: Cross multiply
    286,181.25x = 621,529.50 × 621,529.50
  4. Step 4: Simplify right side
    286,181.25x = 386,298,919,370.25
  5. Step 5: Solve for x
    x = 386,298,919,370.25/286,181.25
  6. Step 6: Final answer
    x = 1,349,840.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.