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Finding the Third Proportional to 330,502 and 525,274

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Solution

The third proportional to 330,502 and 525,274 is: 834,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,502 : 525,274 = 525,274 : x
  2. Step 2: Convert to fraction form
    330,502/525,274 = 525,274/x
  3. Step 3: Cross multiply
    330,502x = 525,274 × 525,274
  4. Step 4: Simplify right side
    330,502x = 275,912,775,076
  5. Step 5: Solve for x
    x = 275,912,775,076/330,502
  6. Step 6: Final answer
    x = 834,829.37

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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.