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Finding the Third Proportional to 350,218.69 and 525,328.03

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Solution

The third proportional to 350,218.69 and 525,328.03 is: 787,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,218.69 : 525,328.03 = 525,328.03 : x
  2. Step 2: Convert to fraction form
    350,218.69/525,328.03 = 525,328.03/x
  3. Step 3: Cross multiply
    350,218.69x = 525,328.03 × 525,328.03
  4. Step 4: Simplify right side
    350,218.69x = 275,969,540,417.00
  5. Step 5: Solve for x
    x = 275,969,540,417.00/350,218.69
  6. Step 6: Final answer
    x = 787,992.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.