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Finding the Third Proportional to 286,212.50 and 445,073.50

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Solution

The third proportional to 286,212.50 and 445,073.50 is: 692,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,212.50 : 445,073.50 = 445,073.50 : x
  2. Step 2: Convert to fraction form
    286,212.50/445,073.50 = 445,073.50/x
  3. Step 3: Cross multiply
    286,212.50x = 445,073.50 × 445,073.50
  4. Step 4: Simplify right side
    286,212.50x = 198,090,420,402.25
  5. Step 5: Solve for x
    x = 198,090,420,402.25/286,212.50
  6. Step 6: Final answer
    x = 692,109.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.