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Finding the Third Proportional to 316,064 and 461,616

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Solution

The third proportional to 316,064 and 461,616 is: 674,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,064 : 461,616 = 461,616 : x
  2. Step 2: Convert to fraction form
    316,064/461,616 = 461,616/x
  3. Step 3: Cross multiply
    316,064x = 461,616 × 461,616
  4. Step 4: Simplify right side
    316,064x = 213,089,331,456
  5. Step 5: Solve for x
    x = 213,089,331,456/316,064
  6. Step 6: Final answer
    x = 674,196.78

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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.