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Finding the Third Proportional to 332,580 and 516,024

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Solution

The third proportional to 332,580 and 516,024 is: 800,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,580 : 516,024 = 516,024 : x
  2. Step 2: Convert to fraction form
    332,580/516,024 = 516,024/x
  3. Step 3: Cross multiply
    332,580x = 516,024 × 516,024
  4. Step 4: Simplify right side
    332,580x = 266,280,768,576
  5. Step 5: Solve for x
    x = 266,280,768,576/332,580
  6. Step 6: Final answer
    x = 800,651.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.