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Finding the Third Proportional to 316,706.06 and 659,621.81

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Solution

The third proportional to 316,706.06 and 659,621.81 is: 1,373,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,706.06 : 659,621.81 = 659,621.81 : x
  2. Step 2: Convert to fraction form
    316,706.06/659,621.81 = 659,621.81/x
  3. Step 3: Cross multiply
    316,706.06x = 659,621.81 × 659,621.81
  4. Step 4: Simplify right side
    316,706.06x = 435,100,935,525.79
  5. Step 5: Solve for x
    x = 435,100,935,525.79/316,706.06
  6. Step 6: Final answer
    x = 1,373,832.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.