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Finding the Third Proportional to 325,000.13 and 724,682.25

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Solution

The third proportional to 325,000.13 and 724,682.25 is: 1,615,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,000.13 : 724,682.25 = 724,682.25 : x
  2. Step 2: Convert to fraction form
    325,000.13/724,682.25 = 724,682.25/x
  3. Step 3: Cross multiply
    325,000.13x = 724,682.25 × 724,682.25
  4. Step 4: Simplify right side
    325,000.13x = 525,164,363,465.06
  5. Step 5: Solve for x
    x = 525,164,363,465.06/325,000.13
  6. Step 6: Final answer
    x = 1,615,889.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.