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Finding the Third Proportional to 315,450.75 and 687,999.56

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Solution

The third proportional to 315,450.75 and 687,999.56 is: 1,500,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,450.75 : 687,999.56 = 687,999.56 : x
  2. Step 2: Convert to fraction form
    315,450.75/687,999.56 = 687,999.56/x
  3. Step 3: Cross multiply
    315,450.75x = 687,999.56 × 687,999.56
  4. Step 4: Simplify right side
    315,450.75x = 473,343,398,000.19
  5. Step 5: Solve for x
    x = 473,343,398,000.19/315,450.75
  6. Step 6: Final answer
    x = 1,500,530.27

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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.