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Finding the Third Proportional to 210,804.75 and 460,131.75

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Solution

The third proportional to 210,804.75 and 460,131.75 is: 1,004,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,804.75 : 460,131.75 = 460,131.75 : x
  2. Step 2: Convert to fraction form
    210,804.75/460,131.75 = 460,131.75/x
  3. Step 3: Cross multiply
    210,804.75x = 460,131.75 × 460,131.75
  4. Step 4: Simplify right side
    210,804.75x = 211,721,227,358.06
  5. Step 5: Solve for x
    x = 211,721,227,358.06/210,804.75
  6. Step 6: Final answer
    x = 1,004,347.52

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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.