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Finding the Third Proportional to 360,591 and 771,210

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Solution

The third proportional to 360,591 and 771,210 is: 1,649,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,591 : 771,210 = 771,210 : x
  2. Step 2: Convert to fraction form
    360,591/771,210 = 771,210/x
  3. Step 3: Cross multiply
    360,591x = 771,210 × 771,210
  4. Step 4: Simplify right side
    360,591x = 594,764,864,100
  5. Step 5: Solve for x
    x = 594,764,864,100/360,591
  6. Step 6: Final answer
    x = 1,649,416.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.