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Finding the Third Proportional to 218,232 and 478,104

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Solution

The third proportional to 218,232 and 478,104 is: 1,047,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,232 : 478,104 = 478,104 : x
  2. Step 2: Convert to fraction form
    218,232/478,104 = 478,104/x
  3. Step 3: Cross multiply
    218,232x = 478,104 × 478,104
  4. Step 4: Simplify right side
    218,232x = 228,583,434,816
  5. Step 5: Solve for x
    x = 228,583,434,816/218,232
  6. Step 6: Final answer
    x = 1,047,433.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.