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Finding the Third Proportional to 309,212.44 and 473,014.69

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Solution

The third proportional to 309,212.44 and 473,014.69 is: 723,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,212.44 : 473,014.69 = 473,014.69 : x
  2. Step 2: Convert to fraction form
    309,212.44/473,014.69 = 473,014.69/x
  3. Step 3: Cross multiply
    309,212.44x = 473,014.69 × 473,014.69
  4. Step 4: Simplify right side
    309,212.44x = 223,742,894,590.72
  5. Step 5: Solve for x
    x = 223,742,894,590.72/309,212.44
  6. Step 6: Final answer
    x = 723,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.