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Finding the Third Proportional to 227,214 and 492,043.50

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Solution

The third proportional to 227,214 and 492,043.50 is: 1,065,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,214 : 492,043.50 = 492,043.50 : x
  2. Step 2: Convert to fraction form
    227,214/492,043.50 = 492,043.50/x
  3. Step 3: Cross multiply
    227,214x = 492,043.50 × 492,043.50
  4. Step 4: Simplify right side
    227,214x = 242,106,805,892.25
  5. Step 5: Solve for x
    x = 242,106,805,892.25/227,214
  6. Step 6: Final answer
    x = 1,065,545.28

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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.