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Finding the Third Proportional to 229,441 and 492,097

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Solution

The third proportional to 229,441 and 492,097 is: 1,055,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,441 : 492,097 = 492,097 : x
  2. Step 2: Convert to fraction form
    229,441/492,097 = 492,097/x
  3. Step 3: Cross multiply
    229,441x = 492,097 × 492,097
  4. Step 4: Simplify right side
    229,441x = 242,159,457,409
  5. Step 5: Solve for x
    x = 242,159,457,409/229,441
  6. Step 6: Final answer
    x = 1,055,432.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.