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Finding the Third Proportional to 221,322 and 474,207

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Solution

The third proportional to 221,322 and 474,207 is: 1,016,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,322 : 474,207 = 474,207 : x
  2. Step 2: Convert to fraction form
    221,322/474,207 = 474,207/x
  3. Step 3: Cross multiply
    221,322x = 474,207 × 474,207
  4. Step 4: Simplify right side
    221,322x = 224,872,278,849
  5. Step 5: Solve for x
    x = 224,872,278,849/221,322
  6. Step 6: Final answer
    x = 1,016,041.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.