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Finding the Third Proportional to 385,528,025.25 and 587,331,420.75

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Solution

The third proportional to 385,528,025.25 and 587,331,420.75 is: 894,768,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,528,025.25 : 587,331,420.75 = 587,331,420.75 : x
  2. Step 2: Convert to fraction form
    385,528,025.25/587,331,420.75 = 587,331,420.75/x
  3. Step 3: Cross multiply
    385,528,025.25x = 587,331,420.75 × 587,331,420.75
  4. Step 4: Simplify right side
    385,528,025.25x = 344,958,197,800,213,504
  5. Step 5: Solve for x
    x = 344,958,197,800,213,504/385,528,025.25
  6. Step 6: Final answer
    x = 894,768,149.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.