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Finding the Third Proportional to 267,020 and 400,583

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Solution

The third proportional to 267,020 and 400,583 is: 600,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,020 : 400,583 = 400,583 : x
  2. Step 2: Convert to fraction form
    267,020/400,583 = 400,583/x
  3. Step 3: Cross multiply
    267,020x = 400,583 × 400,583
  4. Step 4: Simplify right side
    267,020x = 160,466,739,889
  5. Step 5: Solve for x
    x = 160,466,739,889/267,020
  6. Step 6: Final answer
    x = 600,954.01

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Why These Related Problems?

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