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Finding the Third Proportional to 283,243.50 and 432,258.19

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Solution

The third proportional to 283,243.50 and 432,258.19 is: 659,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,243.50 : 432,258.19 = 432,258.19 : x
  2. Step 2: Convert to fraction form
    283,243.50/432,258.19 = 432,258.19/x
  3. Step 3: Cross multiply
    283,243.50x = 432,258.19 × 432,258.19
  4. Step 4: Simplify right side
    283,243.50x = 186,847,140,660.79
  5. Step 5: Solve for x
    x = 186,847,140,660.79/283,243.50
  6. Step 6: Final answer
    x = 659,669.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.