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Finding the Third Proportional to 209,004 and 447,541.50

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Solution

The third proportional to 209,004 and 447,541.50 is: 958,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,004 : 447,541.50 = 447,541.50 : x
  2. Step 2: Convert to fraction form
    209,004/447,541.50 = 447,541.50/x
  3. Step 3: Cross multiply
    209,004x = 447,541.50 × 447,541.50
  4. Step 4: Simplify right side
    209,004x = 200,293,394,222.25
  5. Step 5: Solve for x
    x = 200,293,394,222.25/209,004
  6. Step 6: Final answer
    x = 958,323.26

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