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Finding the Third Proportional to 400,738.50 and 619,713

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Solution

The third proportional to 400,738.50 and 619,713 is: 958,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,738.50 : 619,713 = 619,713 : x
  2. Step 2: Convert to fraction form
    400,738.50/619,713 = 619,713/x
  3. Step 3: Cross multiply
    400,738.50x = 619,713 × 619,713
  4. Step 4: Simplify right side
    400,738.50x = 384,044,202,369
  5. Step 5: Solve for x
    x = 384,044,202,369/400,738.50
  6. Step 6: Final answer
    x = 958,341.17

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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.