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Finding the Third Proportional to 246,664 and 528,322

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Solution

The third proportional to 246,664 and 528,322 is: 1,131,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,664 : 528,322 = 528,322 : x
  2. Step 2: Convert to fraction form
    246,664/528,322 = 528,322/x
  3. Step 3: Cross multiply
    246,664x = 528,322 × 528,322
  4. Step 4: Simplify right side
    246,664x = 279,124,135,684
  5. Step 5: Solve for x
    x = 279,124,135,684/246,664
  6. Step 6: Final answer
    x = 1,131,596.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.