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Finding the Third Proportional to 324,434.50 and 433,979

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Solution

The third proportional to 324,434.50 and 433,979 is: 580,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,434.50 : 433,979 = 433,979 : x
  2. Step 2: Convert to fraction form
    324,434.50/433,979 = 433,979/x
  3. Step 3: Cross multiply
    324,434.50x = 433,979 × 433,979
  4. Step 4: Simplify right side
    324,434.50x = 188,337,772,441
  5. Step 5: Solve for x
    x = 188,337,772,441/324,434.50
  6. Step 6: Final answer
    x = 580,510.93

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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.