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Finding the Third Proportional to 267,984 and 401,688

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Solution

The third proportional to 267,984 and 401,688 is: 602,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,984 : 401,688 = 401,688 : x
  2. Step 2: Convert to fraction form
    267,984/401,688 = 401,688/x
  3. Step 3: Cross multiply
    267,984x = 401,688 × 401,688
  4. Step 4: Simplify right side
    267,984x = 161,353,249,344
  5. Step 5: Solve for x
    x = 161,353,249,344/267,984
  6. Step 6: Final answer
    x = 602,100.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.