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Finding the Third Proportional to 481,572 and 746,704

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Solution

The third proportional to 481,572 and 746,704 is: 1,157,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,572 : 746,704 = 746,704 : x
  2. Step 2: Convert to fraction form
    481,572/746,704 = 746,704/x
  3. Step 3: Cross multiply
    481,572x = 746,704 × 746,704
  4. Step 4: Simplify right side
    481,572x = 557,566,863,616
  5. Step 5: Solve for x
    x = 557,566,863,616/481,572
  6. Step 6: Final answer
    x = 1,157,805.82

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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.