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Finding the Third Proportional to 316,888 and 461,064

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Solution

The third proportional to 316,888 and 461,064 is: 670,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,888 : 461,064 = 461,064 : x
  2. Step 2: Convert to fraction form
    316,888/461,064 = 461,064/x
  3. Step 3: Cross multiply
    316,888x = 461,064 × 461,064
  4. Step 4: Simplify right side
    316,888x = 212,580,012,096
  5. Step 5: Solve for x
    x = 212,580,012,096/316,888
  6. Step 6: Final answer
    x = 670,836.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.