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Finding the Third Proportional to 336,065.63 and 725,793.75

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Solution

The third proportional to 336,065.63 and 725,793.75 is: 1,567,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,065.63 : 725,793.75 = 725,793.75 : x
  2. Step 2: Convert to fraction form
    336,065.63/725,793.75 = 725,793.75/x
  3. Step 3: Cross multiply
    336,065.63x = 725,793.75 × 725,793.75
  4. Step 4: Simplify right side
    336,065.63x = 526,776,567,539.06
  5. Step 5: Solve for x
    x = 526,776,567,539.06/336,065.63
  6. Step 6: Final answer
    x = 1,567,481.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.