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Finding the Third Proportional to 267,634 and 403,719

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Solution

The third proportional to 267,634 and 403,719 is: 608,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,634 : 403,719 = 403,719 : x
  2. Step 2: Convert to fraction form
    267,634/403,719 = 403,719/x
  3. Step 3: Cross multiply
    267,634x = 403,719 × 403,719
  4. Step 4: Simplify right side
    267,634x = 162,989,030,961
  5. Step 5: Solve for x
    x = 162,989,030,961/267,634
  6. Step 6: Final answer
    x = 608,999.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.