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Finding the Third Proportional to 507,945.38 and 746,745.19

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Solution

The third proportional to 507,945.38 and 746,745.19 is: 1,097,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,945.38 : 746,745.19 = 746,745.19 : x
  2. Step 2: Convert to fraction form
    507,945.38/746,745.19 = 746,745.19/x
  3. Step 3: Cross multiply
    507,945.38x = 746,745.19 × 746,745.19
  4. Step 4: Simplify right side
    507,945.38x = 557,628,375,054.41
  5. Step 5: Solve for x
    x = 557,628,375,054.41/507,945.38
  6. Step 6: Final answer
    x = 1,097,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.