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Finding the Third Proportional to 332,220 and 501,786

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Solution

The third proportional to 332,220 and 501,786 is: 757,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,220 : 501,786 = 501,786 : x
  2. Step 2: Convert to fraction form
    332,220/501,786 = 501,786/x
  3. Step 3: Cross multiply
    332,220x = 501,786 × 501,786
  4. Step 4: Simplify right side
    332,220x = 251,789,189,796
  5. Step 5: Solve for x
    x = 251,789,189,796/332,220
  6. Step 6: Final answer
    x = 757,898.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.