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Finding the Third Proportional to 296,676 and 471,693

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Solution

The third proportional to 296,676 and 471,693 is: 749,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,676 : 471,693 = 471,693 : x
  2. Step 2: Convert to fraction form
    296,676/471,693 = 471,693/x
  3. Step 3: Cross multiply
    296,676x = 471,693 × 471,693
  4. Step 4: Simplify right side
    296,676x = 222,494,286,249
  5. Step 5: Solve for x
    x = 222,494,286,249/296,676
  6. Step 6: Final answer
    x = 749,957.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.