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Finding the Third Proportional to 350,503.88 and 525,164.06

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Solution

The third proportional to 350,503.88 and 525,164.06 is: 786,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,503.88 : 525,164.06 = 525,164.06 : x
  2. Step 2: Convert to fraction form
    350,503.88/525,164.06 = 525,164.06/x
  3. Step 3: Cross multiply
    350,503.88x = 525,164.06 × 525,164.06
  4. Step 4: Simplify right side
    350,503.88x = 275,797,292,541.50
  5. Step 5: Solve for x
    x = 275,797,292,541.50/350,503.88
  6. Step 6: Final answer
    x = 786,859.47

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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.