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Finding the Third Proportional to 260,848.69 and 396,740.81

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Solution

The third proportional to 260,848.69 and 396,740.81 is: 603,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,848.69 : 396,740.81 = 396,740.81 : x
  2. Step 2: Convert to fraction form
    260,848.69/396,740.81 = 396,740.81/x
  3. Step 3: Cross multiply
    260,848.69x = 396,740.81 × 396,740.81
  4. Step 4: Simplify right side
    260,848.69x = 157,403,272,303.16
  5. Step 5: Solve for x
    x = 157,403,272,303.16/260,848.69
  6. Step 6: Final answer
    x = 603,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.