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Finding the Third Proportional to 544,966 and 850,564

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Solution

The third proportional to 544,966 and 850,564 is: 1,327,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,966 : 850,564 = 850,564 : x
  2. Step 2: Convert to fraction form
    544,966/850,564 = 850,564/x
  3. Step 3: Cross multiply
    544,966x = 850,564 × 850,564
  4. Step 4: Simplify right side
    544,966x = 723,459,118,096
  5. Step 5: Solve for x
    x = 723,459,118,096/544,966
  6. Step 6: Final answer
    x = 1,327,530.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.