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Finding the Third Proportional to 563,662.50 and 993,409.50

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Solution

The third proportional to 563,662.50 and 993,409.50 is: 1,750,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,662.50 : 993,409.50 = 993,409.50 : x
  2. Step 2: Convert to fraction form
    563,662.50/993,409.50 = 993,409.50/x
  3. Step 3: Cross multiply
    563,662.50x = 993,409.50 × 993,409.50
  4. Step 4: Simplify right side
    563,662.50x = 986,862,434,690.25
  5. Step 5: Solve for x
    x = 986,862,434,690.25/563,662.50
  6. Step 6: Final answer
    x = 1,750,803.78

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.