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Finding the Third Proportional to 472,626 and 726,460

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Solution

The third proportional to 472,626 and 726,460 is: 1,116,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,626 : 726,460 = 726,460 : x
  2. Step 2: Convert to fraction form
    472,626/726,460 = 726,460/x
  3. Step 3: Cross multiply
    472,626x = 726,460 × 726,460
  4. Step 4: Simplify right side
    472,626x = 527,744,131,600
  5. Step 5: Solve for x
    x = 527,744,131,600/472,626
  6. Step 6: Final answer
    x = 1,116,621.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.