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Finding the Third Proportional to 295,768 and 454,626

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Solution

The third proportional to 295,768 and 454,626 is: 698,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,768 : 454,626 = 454,626 : x
  2. Step 2: Convert to fraction form
    295,768/454,626 = 454,626/x
  3. Step 3: Cross multiply
    295,768x = 454,626 × 454,626
  4. Step 4: Simplify right side
    295,768x = 206,684,799,876
  5. Step 5: Solve for x
    x = 206,684,799,876/295,768
  6. Step 6: Final answer
    x = 698,807.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.