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Finding the Third Proportional to 507,549.75 and 1,128,579.38

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Solution

The third proportional to 507,549.75 and 1,128,579.38 is: 2,509,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,549.75 : 1,128,579.38 = 1,128,579.38 : x
  2. Step 2: Convert to fraction form
    507,549.75/1,128,579.38 = 1,128,579.38/x
  3. Step 3: Cross multiply
    507,549.75x = 1,128,579.38 × 1,128,579.38
  4. Step 4: Simplify right side
    507,549.75x = 1,273,691,405,675.39
  5. Step 5: Solve for x
    x = 1,273,691,405,675.39/507,549.75
  6. Step 6: Final answer
    x = 2,509,490.76

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.