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Finding the Third Proportional to 332,540 and 509,988

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Solution

The third proportional to 332,540 and 509,988 is: 782,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,540 : 509,988 = 509,988 : x
  2. Step 2: Convert to fraction form
    332,540/509,988 = 509,988/x
  3. Step 3: Cross multiply
    332,540x = 509,988 × 509,988
  4. Step 4: Simplify right side
    332,540x = 260,087,760,144
  5. Step 5: Solve for x
    x = 260,087,760,144/332,540
  6. Step 6: Final answer
    x = 782,124.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.