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Finding the Third Proportional to 201,617 and 297,829

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Solution

The third proportional to 201,617 and 297,829 is: 439,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,617 : 297,829 = 297,829 : x
  2. Step 2: Convert to fraction form
    201,617/297,829 = 297,829/x
  3. Step 3: Cross multiply
    201,617x = 297,829 × 297,829
  4. Step 4: Simplify right side
    201,617x = 88,702,113,241
  5. Step 5: Solve for x
    x = 88,702,113,241/201,617
  6. Step 6: Final answer
    x = 439,953.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.