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Finding the Third Proportional to 303,048 and 470,529

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Solution

The third proportional to 303,048 and 470,529 is: 730,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,048 : 470,529 = 470,529 : x
  2. Step 2: Convert to fraction form
    303,048/470,529 = 470,529/x
  3. Step 3: Cross multiply
    303,048x = 470,529 × 470,529
  4. Step 4: Simplify right side
    303,048x = 221,397,539,841
  5. Step 5: Solve for x
    x = 221,397,539,841/303,048
  6. Step 6: Final answer
    x = 730,569.22

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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.