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Finding the Third Proportional to 301,803 and 639,584

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Solution

The third proportional to 301,803 and 639,584 is: 1,355,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,803 : 639,584 = 639,584 : x
  2. Step 2: Convert to fraction form
    301,803/639,584 = 639,584/x
  3. Step 3: Cross multiply
    301,803x = 639,584 × 639,584
  4. Step 4: Simplify right side
    301,803x = 409,067,693,056
  5. Step 5: Solve for x
    x = 409,067,693,056/301,803
  6. Step 6: Final answer
    x = 1,355,412.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.