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Finding the Third Proportional to 360,914 and 783,340

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Solution

The third proportional to 360,914 and 783,340 is: 1,700,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,914 : 783,340 = 783,340 : x
  2. Step 2: Convert to fraction form
    360,914/783,340 = 783,340/x
  3. Step 3: Cross multiply
    360,914x = 783,340 × 783,340
  4. Step 4: Simplify right side
    360,914x = 613,621,555,600
  5. Step 5: Solve for x
    x = 613,621,555,600/360,914
  6. Step 6: Final answer
    x = 1,700,187.73

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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.