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Finding the Third Proportional to 246,478.50 and 504,633

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Solution

The third proportional to 246,478.50 and 504,633 is: 1,033,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,478.50 : 504,633 = 504,633 : x
  2. Step 2: Convert to fraction form
    246,478.50/504,633 = 504,633/x
  3. Step 3: Cross multiply
    246,478.50x = 504,633 × 504,633
  4. Step 4: Simplify right side
    246,478.50x = 254,654,464,689
  5. Step 5: Solve for x
    x = 254,654,464,689/246,478.50
  6. Step 6: Final answer
    x = 1,033,171.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.