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Finding the Third Proportional to 504,600 and 759,006

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Solution

The third proportional to 504,600 and 759,006 is: 1,141,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,600 : 759,006 = 759,006 : x
  2. Step 2: Convert to fraction form
    504,600/759,006 = 759,006/x
  3. Step 3: Cross multiply
    504,600x = 759,006 × 759,006
  4. Step 4: Simplify right side
    504,600x = 576,090,108,036
  5. Step 5: Solve for x
    x = 576,090,108,036/504,600
  6. Step 6: Final answer
    x = 1,141,676.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.