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Finding the Third Proportional to 481,044 and 747,756

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Solution

The third proportional to 481,044 and 747,756 is: 1,162,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,044 : 747,756 = 747,756 : x
  2. Step 2: Convert to fraction form
    481,044/747,756 = 747,756/x
  3. Step 3: Cross multiply
    481,044x = 747,756 × 747,756
  4. Step 4: Simplify right side
    481,044x = 559,139,035,536
  5. Step 5: Solve for x
    x = 559,139,035,536/481,044
  6. Step 6: Final answer
    x = 1,162,344.89

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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.