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Finding the Third Proportional to 471,271 and 749,144

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Solution

The third proportional to 471,271 and 749,144 is: 1,190,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,271 : 749,144 = 749,144 : x
  2. Step 2: Convert to fraction form
    471,271/749,144 = 749,144/x
  3. Step 3: Cross multiply
    471,271x = 749,144 × 749,144
  4. Step 4: Simplify right side
    471,271x = 561,216,732,736
  5. Step 5: Solve for x
    x = 561,216,732,736/471,271
  6. Step 6: Final answer
    x = 1,190,857.77

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