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Finding the Third Proportional to 227,835 and 498,559.50

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Solution

The third proportional to 227,835 and 498,559.50 is: 1,090,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,835 : 498,559.50 = 498,559.50 : x
  2. Step 2: Convert to fraction form
    227,835/498,559.50 = 498,559.50/x
  3. Step 3: Cross multiply
    227,835x = 498,559.50 × 498,559.50
  4. Step 4: Simplify right side
    227,835x = 248,561,575,040.25
  5. Step 5: Solve for x
    x = 248,561,575,040.25/227,835
  6. Step 6: Final answer
    x = 1,090,971.87

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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.