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Finding the Third Proportional to 297,969 and 646,735

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Solution

The third proportional to 297,969 and 646,735 is: 1,403,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,969 : 646,735 = 646,735 : x
  2. Step 2: Convert to fraction form
    297,969/646,735 = 646,735/x
  3. Step 3: Cross multiply
    297,969x = 646,735 × 646,735
  4. Step 4: Simplify right side
    297,969x = 418,266,160,225
  5. Step 5: Solve for x
    x = 418,266,160,225/297,969
  6. Step 6: Final answer
    x = 1,403,723.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.