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Finding the Third Proportional to 222,477 and 460,726

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Solution

The third proportional to 222,477 and 460,726 is: 954,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,477 : 460,726 = 460,726 : x
  2. Step 2: Convert to fraction form
    222,477/460,726 = 460,726/x
  3. Step 3: Cross multiply
    222,477x = 460,726 × 460,726
  4. Step 4: Simplify right side
    222,477x = 212,268,447,076
  5. Step 5: Solve for x
    x = 212,268,447,076/222,477
  6. Step 6: Final answer
    x = 954,114.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.