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Finding the Third Proportional to 325,000 and 724,686

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Solution

The third proportional to 325,000 and 724,686 is: 1,615,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,000 : 724,686 = 724,686 : x
  2. Step 2: Convert to fraction form
    325,000/724,686 = 724,686/x
  3. Step 3: Cross multiply
    325,000x = 724,686 × 724,686
  4. Step 4: Simplify right side
    325,000x = 525,169,798,596
  5. Step 5: Solve for x
    x = 525,169,798,596/325,000
  6. Step 6: Final answer
    x = 1,615,907.07

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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.