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Finding the Third Proportional to 330,378.75 and 525,106.13

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Solution

The third proportional to 330,378.75 and 525,106.13 is: 834,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,378.75 : 525,106.13 = 525,106.13 : x
  2. Step 2: Convert to fraction form
    330,378.75/525,106.13 = 525,106.13/x
  3. Step 3: Cross multiply
    330,378.75x = 525,106.13 × 525,106.13
  4. Step 4: Simplify right side
    330,378.75x = 275,736,442,512.52
  5. Step 5: Solve for x
    x = 275,736,442,512.52/330,378.75
  6. Step 6: Final answer
    x = 834,607.08

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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.