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Finding the Third Proportional to 303,058.13 and 475,409.25

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Solution

The third proportional to 303,058.13 and 475,409.25 is: 745,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,058.13 : 475,409.25 = 475,409.25 : x
  2. Step 2: Convert to fraction form
    303,058.13/475,409.25 = 475,409.25/x
  3. Step 3: Cross multiply
    303,058.13x = 475,409.25 × 475,409.25
  4. Step 4: Simplify right side
    303,058.13x = 226,013,954,985.56
  5. Step 5: Solve for x
    x = 226,013,954,985.56/303,058.13
  6. Step 6: Final answer
    x = 745,777.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.