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Finding the Third Proportional to 402,434 and 850,564

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Solution

The third proportional to 402,434 and 850,564 is: 1,797,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,434 : 850,564 = 850,564 : x
  2. Step 2: Convert to fraction form
    402,434/850,564 = 850,564/x
  3. Step 3: Cross multiply
    402,434x = 850,564 × 850,564
  4. Step 4: Simplify right side
    402,434x = 723,459,118,096
  5. Step 5: Solve for x
    x = 723,459,118,096/402,434
  6. Step 6: Final answer
    x = 1,797,708.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.