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Finding the Third Proportional to 320,054 and 466,923

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Solution

The third proportional to 320,054 and 466,923 is: 681,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,054 : 466,923 = 466,923 : x
  2. Step 2: Convert to fraction form
    320,054/466,923 = 466,923/x
  3. Step 3: Cross multiply
    320,054x = 466,923 × 466,923
  4. Step 4: Simplify right side
    320,054x = 218,017,087,929
  5. Step 5: Solve for x
    x = 218,017,087,929/320,054
  6. Step 6: Final answer
    x = 681,188.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.