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Finding the Third Proportional to 303,550 and 469,013

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Solution

The third proportional to 303,550 and 469,013 is: 724,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,550 : 469,013 = 469,013 : x
  2. Step 2: Convert to fraction form
    303,550/469,013 = 469,013/x
  3. Step 3: Cross multiply
    303,550x = 469,013 × 469,013
  4. Step 4: Simplify right side
    303,550x = 219,973,194,169
  5. Step 5: Solve for x
    x = 219,973,194,169/303,550
  6. Step 6: Final answer
    x = 724,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.