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Finding the Third Proportional to 330,382.50 and 525,111.75

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Solution

The third proportional to 330,382.50 and 525,111.75 is: 834,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,382.50 : 525,111.75 = 525,111.75 : x
  2. Step 2: Convert to fraction form
    330,382.50/525,111.75 = 525,111.75/x
  3. Step 3: Cross multiply
    330,382.50x = 525,111.75 × 525,111.75
  4. Step 4: Simplify right side
    330,382.50x = 275,742,349,988.06
  5. Step 5: Solve for x
    x = 275,742,349,988.06/330,382.50
  6. Step 6: Final answer
    x = 834,615.48

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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.