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Finding the Third Proportional to 264,823.50 and 405,184.50

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Solution

The third proportional to 264,823.50 and 405,184.50 is: 619,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,823.50 : 405,184.50 = 405,184.50 : x
  2. Step 2: Convert to fraction form
    264,823.50/405,184.50 = 405,184.50/x
  3. Step 3: Cross multiply
    264,823.50x = 405,184.50 × 405,184.50
  4. Step 4: Simplify right side
    264,823.50x = 164,174,479,040.25
  5. Step 5: Solve for x
    x = 164,174,479,040.25/264,823.50
  6. Step 6: Final answer
    x = 619,939.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.