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Finding the Third Proportional to 449,674.50 and 972,735

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Solution

The third proportional to 449,674.50 and 972,735 is: 2,104,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,674.50 : 972,735 = 972,735 : x
  2. Step 2: Convert to fraction form
    449,674.50/972,735 = 972,735/x
  3. Step 3: Cross multiply
    449,674.50x = 972,735 × 972,735
  4. Step 4: Simplify right side
    449,674.50x = 946,213,380,225
  5. Step 5: Solve for x
    x = 946,213,380,225/449,674.50
  6. Step 6: Final answer
    x = 2,104,218.45

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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.