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Finding the Third Proportional to 301,803 and 639,582

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Solution

The third proportional to 301,803 and 639,582 is: 1,355,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,803 : 639,582 = 639,582 : x
  2. Step 2: Convert to fraction form
    301,803/639,582 = 639,582/x
  3. Step 3: Cross multiply
    301,803x = 639,582 × 639,582
  4. Step 4: Simplify right side
    301,803x = 409,065,134,724
  5. Step 5: Solve for x
    x = 409,065,134,724/301,803
  6. Step 6: Final answer
    x = 1,355,404.47

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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.