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Finding the Third Proportional to 451,666.13 and 681,326.44

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Solution

The third proportional to 451,666.13 and 681,326.44 is: 1,027,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,666.13 : 681,326.44 = 681,326.44 : x
  2. Step 2: Convert to fraction form
    451,666.13/681,326.44 = 681,326.44/x
  3. Step 3: Cross multiply
    451,666.13x = 681,326.44 × 681,326.44
  4. Step 4: Simplify right side
    451,666.13x = 464,205,714,436.44
  5. Step 5: Solve for x
    x = 464,205,714,436.44/451,666.13
  6. Step 6: Final answer
    x = 1,027,762.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.