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Finding the Third Proportional to 631,200.09 and 946,652.06

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Solution

The third proportional to 631,200.09 and 946,652.06 is: 1,419,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,200.09 : 946,652.06 = 946,652.06 : x
  2. Step 2: Convert to fraction form
    631,200.09/946,652.06 = 946,652.06/x
  3. Step 3: Cross multiply
    631,200.09x = 946,652.06 × 946,652.06
  4. Step 4: Simplify right side
    631,200.09x = 896,150,127,435.50
  5. Step 5: Solve for x
    x = 896,150,127,435.50/631,200.09
  6. Step 6: Final answer
    x = 1,419,756.01

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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.