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Finding the Third Proportional to 324,100.50 and 430,069.50

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Solution

The third proportional to 324,100.50 and 430,069.50 is: 570,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,100.50 : 430,069.50 = 430,069.50 : x
  2. Step 2: Convert to fraction form
    324,100.50/430,069.50 = 430,069.50/x
  3. Step 3: Cross multiply
    324,100.50x = 430,069.50 × 430,069.50
  4. Step 4: Simplify right side
    324,100.50x = 184,959,774,830.25
  5. Step 5: Solve for x
    x = 184,959,774,830.25/324,100.50
  6. Step 6: Final answer
    x = 570,686.48

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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.