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Finding the Third Proportional to 226,500 and 492,854

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Solution

The third proportional to 226,500 and 492,854 is: 1,072,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,500 : 492,854 = 492,854 : x
  2. Step 2: Convert to fraction form
    226,500/492,854 = 492,854/x
  3. Step 3: Cross multiply
    226,500x = 492,854 × 492,854
  4. Step 4: Simplify right side
    226,500x = 242,905,065,316
  5. Step 5: Solve for x
    x = 242,905,065,316/226,500
  6. Step 6: Final answer
    x = 1,072,428.54

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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.