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Finding the Third Proportional to 324,370.50 and 516,534.75

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Solution

The third proportional to 324,370.50 and 516,534.75 is: 822,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,370.50 : 516,534.75 = 516,534.75 : x
  2. Step 2: Convert to fraction form
    324,370.50/516,534.75 = 516,534.75/x
  3. Step 3: Cross multiply
    324,370.50x = 516,534.75 × 516,534.75
  4. Step 4: Simplify right side
    324,370.50x = 266,808,147,957.56
  5. Step 5: Solve for x
    x = 266,808,147,957.56/324,370.50
  6. Step 6: Final answer
    x = 822,541.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.