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Finding the Third Proportional to 657,771.75 and 983,973.75

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Solution

The third proportional to 657,771.75 and 983,973.75 is: 1,471,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,771.75 : 983,973.75 = 983,973.75 : x
  2. Step 2: Convert to fraction form
    657,771.75/983,973.75 = 983,973.75/x
  3. Step 3: Cross multiply
    657,771.75x = 983,973.75 × 983,973.75
  4. Step 4: Simplify right side
    657,771.75x = 968,204,340,689.06
  5. Step 5: Solve for x
    x = 968,204,340,689.06/657,771.75
  6. Step 6: Final answer
    x = 1,471,945.76

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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.