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Finding the Third Proportional to 226,397 and 492,106

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Solution

The third proportional to 226,397 and 492,106 is: 1,069,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,397 : 492,106 = 492,106 : x
  2. Step 2: Convert to fraction form
    226,397/492,106 = 492,106/x
  3. Step 3: Cross multiply
    226,397x = 492,106 × 492,106
  4. Step 4: Simplify right side
    226,397x = 242,168,315,236
  5. Step 5: Solve for x
    x = 242,168,315,236/226,397
  6. Step 6: Final answer
    x = 1,069,662.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.