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Finding the Third Proportional to 351,205.88 and 525,399.75

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Solution

The third proportional to 351,205.88 and 525,399.75 is: 785,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,205.88 : 525,399.75 = 525,399.75 : x
  2. Step 2: Convert to fraction form
    351,205.88/525,399.75 = 525,399.75/x
  3. Step 3: Cross multiply
    351,205.88x = 525,399.75 × 525,399.75
  4. Step 4: Simplify right side
    351,205.88x = 276,044,897,300.06
  5. Step 5: Solve for x
    x = 276,044,897,300.06/351,205.88
  6. Step 6: Final answer
    x = 785,991.68

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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.