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Finding the Third Proportional to 227,215 and 492,046

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Solution

The third proportional to 227,215 and 492,046 is: 1,065,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,215 : 492,046 = 492,046 : x
  2. Step 2: Convert to fraction form
    227,215/492,046 = 492,046/x
  3. Step 3: Cross multiply
    227,215x = 492,046 × 492,046
  4. Step 4: Simplify right side
    227,215x = 242,109,266,116
  5. Step 5: Solve for x
    x = 242,109,266,116/227,215
  6. Step 6: Final answer
    x = 1,065,551.42

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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.