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Finding the Third Proportional to 348,438.50 and 715,636.50

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Solution

The third proportional to 348,438.50 and 715,636.50 is: 1,469,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,438.50 : 715,636.50 = 715,636.50 : x
  2. Step 2: Convert to fraction form
    348,438.50/715,636.50 = 715,636.50/x
  3. Step 3: Cross multiply
    348,438.50x = 715,636.50 × 715,636.50
  4. Step 4: Simplify right side
    348,438.50x = 512,135,600,132.25
  5. Step 5: Solve for x
    x = 512,135,600,132.25/348,438.50
  6. Step 6: Final answer
    x = 1,469,801.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.