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Finding the Third Proportional to 326,295,438.75 and 517,524,835.50

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Solution

The third proportional to 326,295,438.75 and 517,524,835.50 is: 820,826,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,295,438.75 : 517,524,835.50 = 517,524,835.50 : x
  2. Step 2: Convert to fraction form
    326,295,438.75/517,524,835.50 = 517,524,835.50/x
  3. Step 3: Cross multiply
    326,295,438.75x = 517,524,835.50 × 517,524,835.50
  4. Step 4: Simplify right side
    326,295,438.75x = 267,831,955,359,302,048
  5. Step 5: Solve for x
    x = 267,831,955,359,302,048/326,295,438.75
  6. Step 6: Final answer
    x = 820,826,538.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.