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Finding the Third Proportional to 308,701.13 and 481,109.63

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Solution

The third proportional to 308,701.13 and 481,109.63 is: 749,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701.13 : 481,109.63 = 481,109.63 : x
  2. Step 2: Convert to fraction form
    308,701.13/481,109.63 = 481,109.63/x
  3. Step 3: Cross multiply
    308,701.13x = 481,109.63 × 481,109.63
  4. Step 4: Simplify right side
    308,701.13x = 231,466,471,267.64
  5. Step 5: Solve for x
    x = 231,466,471,267.64/308,701.13
  6. Step 6: Final answer
    x = 749,807.67

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Why These Related Problems?

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