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Finding the Third Proportional to 413,220 and 632,064

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Solution

The third proportional to 413,220 and 632,064 is: 966,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,220 : 632,064 = 632,064 : x
  2. Step 2: Convert to fraction form
    413,220/632,064 = 632,064/x
  3. Step 3: Cross multiply
    413,220x = 632,064 × 632,064
  4. Step 4: Simplify right side
    413,220x = 399,504,900,096
  5. Step 5: Solve for x
    x = 399,504,900,096/413,220
  6. Step 6: Final answer
    x = 966,809.21

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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.