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Finding the Third Proportional to 548,937 and 823,405.50

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Solution

The third proportional to 548,937 and 823,405.50 is: 1,235,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,937 : 823,405.50 = 823,405.50 : x
  2. Step 2: Convert to fraction form
    548,937/823,405.50 = 823,405.50/x
  3. Step 3: Cross multiply
    548,937x = 823,405.50 × 823,405.50
  4. Step 4: Simplify right side
    548,937x = 677,996,617,430.25
  5. Step 5: Solve for x
    x = 677,996,617,430.25/548,937
  6. Step 6: Final answer
    x = 1,235,108.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.