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Finding the Third Proportional to 324,011.25 and 429,949.13

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Solution

The third proportional to 324,011.25 and 429,949.13 is: 570,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,011.25 : 429,949.13 = 429,949.13 : x
  2. Step 2: Convert to fraction form
    324,011.25/429,949.13 = 429,949.13/x
  3. Step 3: Cross multiply
    324,011.25x = 429,949.13 × 429,949.13
  4. Step 4: Simplify right side
    324,011.25x = 184,856,250,088.27
  5. Step 5: Solve for x
    x = 184,856,250,088.27/324,011.25
  6. Step 6: Final answer
    x = 570,524.17

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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.