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Finding the Third Proportional to 295,916 and 418,715

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Solution

The third proportional to 295,916 and 418,715 is: 592,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,916 : 418,715 = 418,715 : x
  2. Step 2: Convert to fraction form
    295,916/418,715 = 418,715/x
  3. Step 3: Cross multiply
    295,916x = 418,715 × 418,715
  4. Step 4: Simplify right side
    295,916x = 175,322,251,225
  5. Step 5: Solve for x
    x = 175,322,251,225/295,916
  6. Step 6: Final answer
    x = 592,473.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.