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Finding the Third Proportional to 316,824 and 460,968

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Solution

The third proportional to 316,824 and 460,968 is: 670,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,824 : 460,968 = 460,968 : x
  2. Step 2: Convert to fraction form
    316,824/460,968 = 460,968/x
  3. Step 3: Cross multiply
    316,824x = 460,968 × 460,968
  4. Step 4: Simplify right side
    316,824x = 212,491,497,024
  5. Step 5: Solve for x
    x = 212,491,497,024/316,824
  6. Step 6: Final answer
    x = 670,692.55

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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.