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Finding the Third Proportional to 325,867.50 and 681,526.13

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Solution

The third proportional to 325,867.50 and 681,526.13 is: 1,425,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,867.50 : 681,526.13 = 681,526.13 : x
  2. Step 2: Convert to fraction form
    325,867.50/681,526.13 = 681,526.13/x
  3. Step 3: Cross multiply
    325,867.50x = 681,526.13 × 681,526.13
  4. Step 4: Simplify right side
    325,867.50x = 464,477,859,057.52
  5. Step 5: Solve for x
    x = 464,477,859,057.52/325,867.50
  6. Step 6: Final answer
    x = 1,425,358.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.