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Finding the Third Proportional to 316,672 and 664,064

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Solution

The third proportional to 316,672 and 664,064 is: 1,392,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,672 : 664,064 = 664,064 : x
  2. Step 2: Convert to fraction form
    316,672/664,064 = 664,064/x
  3. Step 3: Cross multiply
    316,672x = 664,064 × 664,064
  4. Step 4: Simplify right side
    316,672x = 440,980,996,096
  5. Step 5: Solve for x
    x = 440,980,996,096/316,672
  6. Step 6: Final answer
    x = 1,392,548.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.