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Finding the Third Proportional to 209,622.75 and 452,440.50

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Solution

The third proportional to 209,622.75 and 452,440.50 is: 976,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,622.75 : 452,440.50 = 452,440.50 : x
  2. Step 2: Convert to fraction form
    209,622.75/452,440.50 = 452,440.50/x
  3. Step 3: Cross multiply
    209,622.75x = 452,440.50 × 452,440.50
  4. Step 4: Simplify right side
    209,622.75x = 204,702,406,040.25
  5. Step 5: Solve for x
    x = 204,702,406,040.25/209,622.75
  6. Step 6: Final answer
    x = 976,527.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.