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Finding the Third Proportional to 295,201.97 and 469,954.41

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Solution

The third proportional to 295,201.97 and 469,954.41 is: 748,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,201.97 : 469,954.41 = 469,954.41 : x
  2. Step 2: Convert to fraction form
    295,201.97/469,954.41 = 469,954.41/x
  3. Step 3: Cross multiply
    295,201.97x = 469,954.41 × 469,954.41
  4. Step 4: Simplify right side
    295,201.97x = 220,857,143,953.79
  5. Step 5: Solve for x
    x = 220,857,143,953.79/295,201.97
  6. Step 6: Final answer
    x = 748,156.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.