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Finding the Third Proportional to 631,617.75 and 946,606.50

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Solution

The third proportional to 631,617.75 and 946,606.50 is: 1,418,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,617.75 : 946,606.50 = 946,606.50 : x
  2. Step 2: Convert to fraction form
    631,617.75/946,606.50 = 946,606.50/x
  3. Step 3: Cross multiply
    631,617.75x = 946,606.50 × 946,606.50
  4. Step 4: Simplify right side
    631,617.75x = 896,063,865,842.25
  5. Step 5: Solve for x
    x = 896,063,865,842.25/631,617.75
  6. Step 6: Final answer
    x = 1,418,680.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.