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Finding the Third Proportional to 565,388.50 and 874,329

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Solution

The third proportional to 565,388.50 and 874,329 is: 1,352,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,388.50 : 874,329 = 874,329 : x
  2. Step 2: Convert to fraction form
    565,388.50/874,329 = 874,329/x
  3. Step 3: Cross multiply
    565,388.50x = 874,329 × 874,329
  4. Step 4: Simplify right side
    565,388.50x = 764,451,200,241
  5. Step 5: Solve for x
    x = 764,451,200,241/565,388.50
  6. Step 6: Final answer
    x = 1,352,081.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.