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Finding the Third Proportional to 272,362.50 and 398,655

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Solution

The third proportional to 272,362.50 and 398,655 is: 583,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,362.50 : 398,655 = 398,655 : x
  2. Step 2: Convert to fraction form
    272,362.50/398,655 = 398,655/x
  3. Step 3: Cross multiply
    272,362.50x = 398,655 × 398,655
  4. Step 4: Simplify right side
    272,362.50x = 158,925,809,025
  5. Step 5: Solve for x
    x = 158,925,809,025/272,362.50
  6. Step 6: Final answer
    x = 583,508.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.