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Finding the Third Proportional to 245,191 and 529,086

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Solution

The third proportional to 245,191 and 529,086 is: 1,141,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,191 : 529,086 = 529,086 : x
  2. Step 2: Convert to fraction form
    245,191/529,086 = 529,086/x
  3. Step 3: Cross multiply
    245,191x = 529,086 × 529,086
  4. Step 4: Simplify right side
    245,191x = 279,931,995,396
  5. Step 5: Solve for x
    x = 279,931,995,396/245,191
  6. Step 6: Final answer
    x = 1,141,689.52

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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.