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Finding the Third Proportional to 512,308.13 and 764,302.50

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Solution

The third proportional to 512,308.13 and 764,302.50 is: 1,140,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,308.13 : 764,302.50 = 764,302.50 : x
  2. Step 2: Convert to fraction form
    512,308.13/764,302.50 = 764,302.50/x
  3. Step 3: Cross multiply
    512,308.13x = 764,302.50 × 764,302.50
  4. Step 4: Simplify right side
    512,308.13x = 584,158,311,506.25
  5. Step 5: Solve for x
    x = 584,158,311,506.25/512,308.13
  6. Step 6: Final answer
    x = 1,140,247.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.