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Finding the Third Proportional to 330,000.75 and 524,539.13

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Solution

The third proportional to 330,000.75 and 524,539.13 is: 833,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,000.75 : 524,539.13 = 524,539.13 : x
  2. Step 2: Convert to fraction form
    330,000.75/524,539.13 = 524,539.13/x
  3. Step 3: Cross multiply
    330,000.75x = 524,539.13 × 524,539.13
  4. Step 4: Simplify right side
    330,000.75x = 275,141,293,655.77
  5. Step 5: Solve for x
    x = 275,141,293,655.77/330,000.75
  6. Step 6: Final answer
    x = 833,759.60

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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.