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Finding the Third Proportional to 403,294 and 619,041

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Solution

The third proportional to 403,294 and 619,041 is: 950,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,294 : 619,041 = 619,041 : x
  2. Step 2: Convert to fraction form
    403,294/619,041 = 619,041/x
  3. Step 3: Cross multiply
    403,294x = 619,041 × 619,041
  4. Step 4: Simplify right side
    403,294x = 383,211,759,681
  5. Step 5: Solve for x
    x = 383,211,759,681/403,294
  6. Step 6: Final answer
    x = 950,204.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.