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Finding the Third Proportional to 208,055.46 and 447,685.73

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Solution

The third proportional to 208,055.46 and 447,685.73 is: 963,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,055.46 : 447,685.73 = 447,685.73 : x
  2. Step 2: Convert to fraction form
    208,055.46/447,685.73 = 447,685.73/x
  3. Step 3: Cross multiply
    208,055.46x = 447,685.73 × 447,685.73
  4. Step 4: Simplify right side
    208,055.46x = 200,422,516,762.88
  5. Step 5: Solve for x
    x = 200,422,516,762.88/208,055.46
  6. Step 6: Final answer
    x = 963,312.94

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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.