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Finding the Third Proportional to 511,210.50 and 756,945

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Solution

The third proportional to 511,210.50 and 756,945 is: 1,120,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,210.50 : 756,945 = 756,945 : x
  2. Step 2: Convert to fraction form
    511,210.50/756,945 = 756,945/x
  3. Step 3: Cross multiply
    511,210.50x = 756,945 × 756,945
  4. Step 4: Simplify right side
    511,210.50x = 572,965,733,025
  5. Step 5: Solve for x
    x = 572,965,733,025/511,210.50
  6. Step 6: Final answer
    x = 1,120,801.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.