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Finding the Third Proportional to 266,467.50 and 409,585.50

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Solution

The third proportional to 266,467.50 and 409,585.50 is: 629,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,467.50 : 409,585.50 = 409,585.50 : x
  2. Step 2: Convert to fraction form
    266,467.50/409,585.50 = 409,585.50/x
  3. Step 3: Cross multiply
    266,467.50x = 409,585.50 × 409,585.50
  4. Step 4: Simplify right side
    266,467.50x = 167,760,281,810.25
  5. Step 5: Solve for x
    x = 167,760,281,810.25/266,467.50
  6. Step 6: Final answer
    x = 629,571.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.