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Finding the Third Proportional to 330,384 and 525,114

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Solution

The third proportional to 330,384 and 525,114 is: 834,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,384 : 525,114 = 525,114 : x
  2. Step 2: Convert to fraction form
    330,384/525,114 = 525,114/x
  3. Step 3: Cross multiply
    330,384x = 525,114 × 525,114
  4. Step 4: Simplify right side
    330,384x = 275,744,712,996
  5. Step 5: Solve for x
    x = 275,744,712,996/330,384
  6. Step 6: Final answer
    x = 834,618.85

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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.