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Finding the Third Proportional to 252,868 and 585,406

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Solution

The third proportional to 252,868 and 585,406 is: 1,355,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,868 : 585,406 = 585,406 : x
  2. Step 2: Convert to fraction form
    252,868/585,406 = 585,406/x
  3. Step 3: Cross multiply
    252,868x = 585,406 × 585,406
  4. Step 4: Simplify right side
    252,868x = 342,700,184,836
  5. Step 5: Solve for x
    x = 342,700,184,836/252,868
  6. Step 6: Final answer
    x = 1,355,253.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.