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Finding the Third Proportional to 324,114.75 and 430,089.75

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Solution

The third proportional to 324,114.75 and 430,089.75 is: 570,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,114.75 : 430,089.75 = 430,089.75 : x
  2. Step 2: Convert to fraction form
    324,114.75/430,089.75 = 430,089.75/x
  3. Step 3: Cross multiply
    324,114.75x = 430,089.75 × 430,089.75
  4. Step 4: Simplify right side
    324,114.75x = 184,977,193,055.06
  5. Step 5: Solve for x
    x = 184,977,193,055.06/324,114.75
  6. Step 6: Final answer
    x = 570,715.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.