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Finding the Third Proportional to 293,706 and 454,389.75

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Solution

The third proportional to 293,706 and 454,389.75 is: 702,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,706 : 454,389.75 = 454,389.75 : x
  2. Step 2: Convert to fraction form
    293,706/454,389.75 = 454,389.75/x
  3. Step 3: Cross multiply
    293,706x = 454,389.75 × 454,389.75
  4. Step 4: Simplify right side
    293,706x = 206,470,044,905.06
  5. Step 5: Solve for x
    x = 206,470,044,905.06/293,706
  6. Step 6: Final answer
    x = 702,982.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.