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Finding the Third Proportional to 302,425.50 and 446,743.50

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Solution

The third proportional to 302,425.50 and 446,743.50 is: 659,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,425.50 : 446,743.50 = 446,743.50 : x
  2. Step 2: Convert to fraction form
    302,425.50/446,743.50 = 446,743.50/x
  3. Step 3: Cross multiply
    302,425.50x = 446,743.50 × 446,743.50
  4. Step 4: Simplify right side
    302,425.50x = 199,579,754,792.25
  5. Step 5: Solve for x
    x = 199,579,754,792.25/302,425.50
  6. Step 6: Final answer
    x = 659,930.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.