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Finding the Third Proportional to 228,219.50 and 486,970.50

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Solution

The third proportional to 228,219.50 and 486,970.50 is: 1,039,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,219.50 : 486,970.50 = 486,970.50 : x
  2. Step 2: Convert to fraction form
    228,219.50/486,970.50 = 486,970.50/x
  3. Step 3: Cross multiply
    228,219.50x = 486,970.50 × 486,970.50
  4. Step 4: Simplify right side
    228,219.50x = 237,140,267,870.25
  5. Step 5: Solve for x
    x = 237,140,267,870.25/228,219.50
  6. Step 6: Final answer
    x = 1,039,088.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.