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Finding the Third Proportional to 312,840.50 and 687,889

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Solution

The third proportional to 312,840.50 and 687,889 is: 1,512,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,840.50 : 687,889 = 687,889 : x
  2. Step 2: Convert to fraction form
    312,840.50/687,889 = 687,889/x
  3. Step 3: Cross multiply
    312,840.50x = 687,889 × 687,889
  4. Step 4: Simplify right side
    312,840.50x = 473,191,276,321
  5. Step 5: Solve for x
    x = 473,191,276,321/312,840.50
  6. Step 6: Final answer
    x = 1,512,563.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.