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Finding the Third Proportional to 252,911 and 529,202

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Solution

The third proportional to 252,911 and 529,202 is: 1,107,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,911 : 529,202 = 529,202 : x
  2. Step 2: Convert to fraction form
    252,911/529,202 = 529,202/x
  3. Step 3: Cross multiply
    252,911x = 529,202 × 529,202
  4. Step 4: Simplify right side
    252,911x = 280,054,756,804
  5. Step 5: Solve for x
    x = 280,054,756,804/252,911
  6. Step 6: Final answer
    x = 1,107,325.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.