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Finding the Third Proportional to 245,189 and 529,084

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Solution

The third proportional to 245,189 and 529,084 is: 1,141,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,189 : 529,084 = 529,084 : x
  2. Step 2: Convert to fraction form
    245,189/529,084 = 529,084/x
  3. Step 3: Cross multiply
    245,189x = 529,084 × 529,084
  4. Step 4: Simplify right side
    245,189x = 279,929,879,056
  5. Step 5: Solve for x
    x = 279,929,879,056/245,189
  6. Step 6: Final answer
    x = 1,141,690.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.