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Finding the Third Proportional to 295,099.50 and 432,863.25

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Solution

The third proportional to 295,099.50 and 432,863.25 is: 634,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,099.50 : 432,863.25 = 432,863.25 : x
  2. Step 2: Convert to fraction form
    295,099.50/432,863.25 = 432,863.25/x
  3. Step 3: Cross multiply
    295,099.50x = 432,863.25 × 432,863.25
  4. Step 4: Simplify right side
    295,099.50x = 187,370,593,200.56
  5. Step 5: Solve for x
    x = 187,370,593,200.56/295,099.50
  6. Step 6: Final answer
    x = 634,940.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.