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Finding the Third Proportional to 593,914.50 and 956,241

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Solution

The third proportional to 593,914.50 and 956,241 is: 1,539,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,914.50 : 956,241 = 956,241 : x
  2. Step 2: Convert to fraction form
    593,914.50/956,241 = 956,241/x
  3. Step 3: Cross multiply
    593,914.50x = 956,241 × 956,241
  4. Step 4: Simplify right side
    593,914.50x = 914,396,850,081
  5. Step 5: Solve for x
    x = 914,396,850,081/593,914.50
  6. Step 6: Final answer
    x = 1,539,610.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.