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Finding the Third Proportional to 440,380.13 and 845,768.25

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Solution

The third proportional to 440,380.13 and 845,768.25 is: 1,624,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,380.13 : 845,768.25 = 845,768.25 : x
  2. Step 2: Convert to fraction form
    440,380.13/845,768.25 = 845,768.25/x
  3. Step 3: Cross multiply
    440,380.13x = 845,768.25 × 845,768.25
  4. Step 4: Simplify right side
    440,380.13x = 715,323,932,708.06
  5. Step 5: Solve for x
    x = 715,323,932,708.06/440,380.13
  6. Step 6: Final answer
    x = 1,624,332.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.