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Finding the Third Proportional to 332,788 and 503,430

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Solution

The third proportional to 332,788 and 503,430 is: 761,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,788 : 503,430 = 503,430 : x
  2. Step 2: Convert to fraction form
    332,788/503,430 = 503,430/x
  3. Step 3: Cross multiply
    332,788x = 503,430 × 503,430
  4. Step 4: Simplify right side
    332,788x = 253,441,764,900
  5. Step 5: Solve for x
    x = 253,441,764,900/332,788
  6. Step 6: Final answer
    x = 761,571.23

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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.