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Finding the Third Proportional to 245,296 and 529,964

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Solution

The third proportional to 245,296 and 529,964 is: 1,144,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,296 : 529,964 = 529,964 : x
  2. Step 2: Convert to fraction form
    245,296/529,964 = 529,964/x
  3. Step 3: Cross multiply
    245,296x = 529,964 × 529,964
  4. Step 4: Simplify right side
    245,296x = 280,861,841,296
  5. Step 5: Solve for x
    x = 280,861,841,296/245,296
  6. Step 6: Final answer
    x = 1,144,991.53

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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.