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Finding the Third Proportional to 433,969 and 657,073.50

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Solution

The third proportional to 433,969 and 657,073.50 is: 994,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,969 : 657,073.50 = 657,073.50 : x
  2. Step 2: Convert to fraction form
    433,969/657,073.50 = 657,073.50/x
  3. Step 3: Cross multiply
    433,969x = 657,073.50 × 657,073.50
  4. Step 4: Simplify right side
    433,969x = 431,745,584,402.25
  5. Step 5: Solve for x
    x = 431,745,584,402.25/433,969
  6. Step 6: Final answer
    x = 994,876.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.