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Finding the Third Proportional to 225,948 and 492,083

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Solution

The third proportional to 225,948 and 492,083 is: 1,071,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,948 : 492,083 = 492,083 : x
  2. Step 2: Convert to fraction form
    225,948/492,083 = 492,083/x
  3. Step 3: Cross multiply
    225,948x = 492,083 × 492,083
  4. Step 4: Simplify right side
    225,948x = 242,145,678,889
  5. Step 5: Solve for x
    x = 242,145,678,889/225,948
  6. Step 6: Final answer
    x = 1,071,687.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.