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Finding the Third Proportional to 262,407.94 and 401,905.13

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Solution

The third proportional to 262,407.94 and 401,905.13 is: 615,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,407.94 : 401,905.13 = 401,905.13 : x
  2. Step 2: Convert to fraction form
    262,407.94/401,905.13 = 401,905.13/x
  3. Step 3: Cross multiply
    262,407.94x = 401,905.13 × 401,905.13
  4. Step 4: Simplify right side
    262,407.94x = 161,527,729,501.27
  5. Step 5: Solve for x
    x = 161,527,729,501.27/262,407.94
  6. Step 6: Final answer
    x = 615,559.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.