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Finding the Third Proportional to 207,283.50 and 439,477.31

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Solution

The third proportional to 207,283.50 and 439,477.31 is: 931,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,283.50 : 439,477.31 = 439,477.31 : x
  2. Step 2: Convert to fraction form
    207,283.50/439,477.31 = 439,477.31/x
  3. Step 3: Cross multiply
    207,283.50x = 439,477.31 × 439,477.31
  4. Step 4: Simplify right side
    207,283.50x = 193,140,308,202.22
  5. Step 5: Solve for x
    x = 193,140,308,202.22/207,283.50
  6. Step 6: Final answer
    x = 931,768.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.