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Finding the Third Proportional to 472,635 and 726,473

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Solution

The third proportional to 472,635 and 726,473 is: 1,116,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,635 : 726,473 = 726,473 : x
  2. Step 2: Convert to fraction form
    472,635/726,473 = 726,473/x
  3. Step 3: Cross multiply
    472,635x = 726,473 × 726,473
  4. Step 4: Simplify right side
    472,635x = 527,763,019,729
  5. Step 5: Solve for x
    x = 527,763,019,729/472,635
  6. Step 6: Final answer
    x = 1,116,639.73

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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.