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Finding the Third Proportional to 400,650 and 619,536

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Solution

The third proportional to 400,650 and 619,536 is: 958,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,650 : 619,536 = 619,536 : x
  2. Step 2: Convert to fraction form
    400,650/619,536 = 619,536/x
  3. Step 3: Cross multiply
    400,650x = 619,536 × 619,536
  4. Step 4: Simplify right side
    400,650x = 383,824,855,296
  5. Step 5: Solve for x
    x = 383,824,855,296/400,650
  6. Step 6: Final answer
    x = 958,005.38

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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.