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Finding the Third Proportional to 185,429.25 and 403,906.50

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Solution

The third proportional to 185,429.25 and 403,906.50 is: 879,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,429.25 : 403,906.50 = 403,906.50 : x
  2. Step 2: Convert to fraction form
    185,429.25/403,906.50 = 403,906.50/x
  3. Step 3: Cross multiply
    185,429.25x = 403,906.50 × 403,906.50
  4. Step 4: Simplify right side
    185,429.25x = 163,140,460,742.25
  5. Step 5: Solve for x
    x = 163,140,460,742.25/185,429.25
  6. Step 6: Final answer
    x = 879,798.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.