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Finding the Third Proportional to 233,181 and 512,046

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Solution

The third proportional to 233,181 and 512,046 is: 1,124,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,181 : 512,046 = 512,046 : x
  2. Step 2: Convert to fraction form
    233,181/512,046 = 512,046/x
  3. Step 3: Cross multiply
    233,181x = 512,046 × 512,046
  4. Step 4: Simplify right side
    233,181x = 262,191,106,116
  5. Step 5: Solve for x
    x = 262,191,106,116/233,181
  6. Step 6: Final answer
    x = 1,124,410.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.