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Finding the Third Proportional to 301,069.13 and 443,287.13

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Solution

The third proportional to 301,069.13 and 443,287.13 is: 652,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,069.13 : 443,287.13 = 443,287.13 : x
  2. Step 2: Convert to fraction form
    301,069.13/443,287.13 = 443,287.13/x
  3. Step 3: Cross multiply
    301,069.13x = 443,287.13 × 443,287.13
  4. Step 4: Simplify right side
    301,069.13x = 196,503,475,190.77
  5. Step 5: Solve for x
    x = 196,503,475,190.77/301,069.13
  6. Step 6: Final answer
    x = 652,685.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.