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Finding the Third Proportional to 481,574 and 746,707

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Solution

The third proportional to 481,574 and 746,707 is: 1,157,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,574 : 746,707 = 746,707 : x
  2. Step 2: Convert to fraction form
    481,574/746,707 = 746,707/x
  3. Step 3: Cross multiply
    481,574x = 746,707 × 746,707
  4. Step 4: Simplify right side
    481,574x = 557,571,343,849
  5. Step 5: Solve for x
    x = 557,571,343,849/481,574
  6. Step 6: Final answer
    x = 1,157,810.31

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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.