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Finding the Third Proportional to 481,142 and 744,951

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Solution

The third proportional to 481,142 and 744,951 is: 1,153,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,142 : 744,951 = 744,951 : x
  2. Step 2: Convert to fraction form
    481,142/744,951 = 744,951/x
  3. Step 3: Cross multiply
    481,142x = 744,951 × 744,951
  4. Step 4: Simplify right side
    481,142x = 554,951,992,401
  5. Step 5: Solve for x
    x = 554,951,992,401/481,142
  6. Step 6: Final answer
    x = 1,153,405.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.