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Finding the Third Proportional to 267,057 and 583,362

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Solution

The third proportional to 267,057 and 583,362 is: 1,274,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,057 : 583,362 = 583,362 : x
  2. Step 2: Convert to fraction form
    267,057/583,362 = 583,362/x
  3. Step 3: Cross multiply
    267,057x = 583,362 × 583,362
  4. Step 4: Simplify right side
    267,057x = 340,311,223,044
  5. Step 5: Solve for x
    x = 340,311,223,044/267,057
  6. Step 6: Final answer
    x = 1,274,301.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.