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Finding the Third Proportional to 451,804.88 and 662,614.31

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Solution

The third proportional to 451,804.88 and 662,614.31 is: 971,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,804.88 : 662,614.31 = 662,614.31 : x
  2. Step 2: Convert to fraction form
    451,804.88/662,614.31 = 662,614.31/x
  3. Step 3: Cross multiply
    451,804.88x = 662,614.31 × 662,614.31
  4. Step 4: Simplify right side
    451,804.88x = 439,057,727,129.85
  5. Step 5: Solve for x
    x = 439,057,727,129.85/451,804.88
  6. Step 6: Final answer
    x = 971,786.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.