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Finding the Third Proportional to 468,983 and 726,642

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Solution

The third proportional to 468,983 and 726,642 is: 1,125,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,983 : 726,642 = 726,642 : x
  2. Step 2: Convert to fraction form
    468,983/726,642 = 726,642/x
  3. Step 3: Cross multiply
    468,983x = 726,642 × 726,642
  4. Step 4: Simplify right side
    468,983x = 528,008,596,164
  5. Step 5: Solve for x
    x = 528,008,596,164/468,983
  6. Step 6: Final answer
    x = 1,125,858.71

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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.