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Finding the Third Proportional to 358,974.50 and 783,145

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Solution

The third proportional to 358,974.50 and 783,145 is: 1,708,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,974.50 : 783,145 = 783,145 : x
  2. Step 2: Convert to fraction form
    358,974.50/783,145 = 783,145/x
  3. Step 3: Cross multiply
    358,974.50x = 783,145 × 783,145
  4. Step 4: Simplify right side
    358,974.50x = 613,316,091,025
  5. Step 5: Solve for x
    x = 613,316,091,025/358,974.50
  6. Step 6: Final answer
    x = 1,708,522.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.