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Finding the Third Proportional to 360,161 and 781,370

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Solution

The third proportional to 360,161 and 781,370 is: 1,695,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,161 : 781,370 = 781,370 : x
  2. Step 2: Convert to fraction form
    360,161/781,370 = 781,370/x
  3. Step 3: Cross multiply
    360,161x = 781,370 × 781,370
  4. Step 4: Simplify right side
    360,161x = 610,539,076,900
  5. Step 5: Solve for x
    x = 610,539,076,900/360,161
  6. Step 6: Final answer
    x = 1,695,183.76

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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.