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Finding the Third Proportional to 330,328.13 and 525,016.69

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Solution

The third proportional to 330,328.13 and 525,016.69 is: 834,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,328.13 : 525,016.69 = 525,016.69 : x
  2. Step 2: Convert to fraction form
    330,328.13/525,016.69 = 525,016.69/x
  3. Step 3: Cross multiply
    330,328.13x = 525,016.69 × 525,016.69
  4. Step 4: Simplify right side
    330,328.13x = 275,642,522,153.47
  5. Step 5: Solve for x
    x = 275,642,522,153.47/330,328.13
  6. Step 6: Final answer
    x = 834,450.66

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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.