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Finding the Third Proportional to 481,808 and 749,400

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Solution

The third proportional to 481,808 and 749,400 is: 1,165,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,808 : 749,400 = 749,400 : x
  2. Step 2: Convert to fraction form
    481,808/749,400 = 749,400/x
  3. Step 3: Cross multiply
    481,808x = 749,400 × 749,400
  4. Step 4: Simplify right side
    481,808x = 561,600,360,000
  5. Step 5: Solve for x
    x = 561,600,360,000/481,808
  6. Step 6: Final answer
    x = 1,165,610.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.