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Finding the Third Proportional to 360,314 and 782,164

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Solution

The third proportional to 360,314 and 782,164 is: 1,697,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,314 : 782,164 = 782,164 : x
  2. Step 2: Convert to fraction form
    360,314/782,164 = 782,164/x
  3. Step 3: Cross multiply
    360,314x = 782,164 × 782,164
  4. Step 4: Simplify right side
    360,314x = 611,780,522,896
  5. Step 5: Solve for x
    x = 611,780,522,896/360,314
  6. Step 6: Final answer
    x = 1,697,909.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.