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Finding the Third Proportional to 458,338.82 and 725,597.05

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Solution

The third proportional to 458,338.82 and 725,597.05 is: 1,148,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,338.82 : 725,597.05 = 725,597.05 : x
  2. Step 2: Convert to fraction form
    458,338.82/725,597.05 = 725,597.05/x
  3. Step 3: Cross multiply
    458,338.82x = 725,597.05 × 725,597.05
  4. Step 4: Simplify right side
    458,338.82x = 526,491,080,102.45
  5. Step 5: Solve for x
    x = 526,491,080,102.45/458,338.82
  6. Step 6: Final answer
    x = 1,148,694.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.