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Finding the Third Proportional to 324,433 and 433,972.50

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Solution

The third proportional to 324,433 and 433,972.50 is: 580,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,433 : 433,972.50 = 433,972.50 : x
  2. Step 2: Convert to fraction form
    324,433/433,972.50 = 433,972.50/x
  3. Step 3: Cross multiply
    324,433x = 433,972.50 × 433,972.50
  4. Step 4: Simplify right side
    324,433x = 188,332,130,756.25
  5. Step 5: Solve for x
    x = 188,332,130,756.25/324,433
  6. Step 6: Final answer
    x = 580,496.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.