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Finding the Third Proportional to 432,416.25 and 931,261.50

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Solution

The third proportional to 432,416.25 and 931,261.50 is: 2,005,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,416.25 : 931,261.50 = 931,261.50 : x
  2. Step 2: Convert to fraction form
    432,416.25/931,261.50 = 931,261.50/x
  3. Step 3: Cross multiply
    432,416.25x = 931,261.50 × 931,261.50
  4. Step 4: Simplify right side
    432,416.25x = 867,247,981,382.25
  5. Step 5: Solve for x
    x = 867,247,981,382.25/432,416.25
  6. Step 6: Final answer
    x = 2,005,586.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.