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Finding the Third Proportional to 548,240 and 799,024

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Solution

The third proportional to 548,240 and 799,024 is: 1,164,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,240 : 799,024 = 799,024 : x
  2. Step 2: Convert to fraction form
    548,240/799,024 = 799,024/x
  3. Step 3: Cross multiply
    548,240x = 799,024 × 799,024
  4. Step 4: Simplify right side
    548,240x = 638,439,352,576
  5. Step 5: Solve for x
    x = 638,439,352,576/548,240
  6. Step 6: Final answer
    x = 1,164,525.30

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Why These Related Problems?

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