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Finding the Third Proportional to 249,735 and 405,744

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Solution

The third proportional to 249,735 and 405,744 is: 659,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,735 : 405,744 = 405,744 : x
  2. Step 2: Convert to fraction form
    249,735/405,744 = 405,744/x
  3. Step 3: Cross multiply
    249,735x = 405,744 × 405,744
  4. Step 4: Simplify right side
    249,735x = 164,628,193,536
  5. Step 5: Solve for x
    x = 164,628,193,536/249,735
  6. Step 6: Final answer
    x = 659,211.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.