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Finding the Third Proportional to 267,030 and 571,968

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Solution

The third proportional to 267,030 and 571,968 is: 1,225,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,030 : 571,968 = 571,968 : x
  2. Step 2: Convert to fraction form
    267,030/571,968 = 571,968/x
  3. Step 3: Cross multiply
    267,030x = 571,968 × 571,968
  4. Step 4: Simplify right side
    267,030x = 327,147,393,024
  5. Step 5: Solve for x
    x = 327,147,393,024/267,030
  6. Step 6: Final answer
    x = 1,225,133.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.