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Finding the Third Proportional to 439,938 and 657,942.75

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Solution

The third proportional to 439,938 and 657,942.75 is: 983,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,938 : 657,942.75 = 657,942.75 : x
  2. Step 2: Convert to fraction form
    439,938/657,942.75 = 657,942.75/x
  3. Step 3: Cross multiply
    439,938x = 657,942.75 × 657,942.75
  4. Step 4: Simplify right side
    439,938x = 432,888,662,277.56
  5. Step 5: Solve for x
    x = 432,888,662,277.56/439,938
  6. Step 6: Final answer
    x = 983,976.52

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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.