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Finding the Third Proportional to 275,435 and 583,942

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Solution

The third proportional to 275,435 and 583,942 is: 1,237,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,435 : 583,942 = 583,942 : x
  2. Step 2: Convert to fraction form
    275,435/583,942 = 583,942/x
  3. Step 3: Cross multiply
    275,435x = 583,942 × 583,942
  4. Step 4: Simplify right side
    275,435x = 340,988,259,364
  5. Step 5: Solve for x
    x = 340,988,259,364/275,435
  6. Step 6: Final answer
    x = 1,237,999.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.