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Finding the Third Proportional to 302,389.50 and 633,894

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Solution

The third proportional to 302,389.50 and 633,894 is: 1,328,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,389.50 : 633,894 = 633,894 : x
  2. Step 2: Convert to fraction form
    302,389.50/633,894 = 633,894/x
  3. Step 3: Cross multiply
    302,389.50x = 633,894 × 633,894
  4. Step 4: Simplify right side
    302,389.50x = 401,821,603,236
  5. Step 5: Solve for x
    x = 401,821,603,236/302,389.50
  6. Step 6: Final answer
    x = 1,328,821.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.