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Finding the Third Proportional to 472,868 and 726,804

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Solution

The third proportional to 472,868 and 726,804 is: 1,117,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,868 : 726,804 = 726,804 : x
  2. Step 2: Convert to fraction form
    472,868/726,804 = 726,804/x
  3. Step 3: Cross multiply
    472,868x = 726,804 × 726,804
  4. Step 4: Simplify right side
    472,868x = 528,244,054,416
  5. Step 5: Solve for x
    x = 528,244,054,416/472,868
  6. Step 6: Final answer
    x = 1,117,106.79

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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.