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Finding the Third Proportional to 400,649 and 619,535

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Solution

The third proportional to 400,649 and 619,535 is: 958,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,649 : 619,535 = 619,535 : x
  2. Step 2: Convert to fraction form
    400,649/619,535 = 619,535/x
  3. Step 3: Cross multiply
    400,649x = 619,535 × 619,535
  4. Step 4: Simplify right side
    400,649x = 383,823,616,225
  5. Step 5: Solve for x
    x = 383,823,616,225/400,649
  6. Step 6: Final answer
    x = 958,004.68

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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.