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Finding the Third Proportional to 511,663.50 and 783,090

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Solution

The third proportional to 511,663.50 and 783,090 is: 1,198,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,663.50 : 783,090 = 783,090 : x
  2. Step 2: Convert to fraction form
    511,663.50/783,090 = 783,090/x
  3. Step 3: Cross multiply
    511,663.50x = 783,090 × 783,090
  4. Step 4: Simplify right side
    511,663.50x = 613,229,948,100
  5. Step 5: Solve for x
    x = 613,229,948,100/511,663.50
  6. Step 6: Final answer
    x = 1,198,502.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.