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Finding the Third Proportional to 236,673 and 514,818

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Solution

The third proportional to 236,673 and 514,818 is: 1,119,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,673 : 514,818 = 514,818 : x
  2. Step 2: Convert to fraction form
    236,673/514,818 = 514,818/x
  3. Step 3: Cross multiply
    236,673x = 514,818 × 514,818
  4. Step 4: Simplify right side
    236,673x = 265,037,573,124
  5. Step 5: Solve for x
    x = 265,037,573,124/236,673
  6. Step 6: Final answer
    x = 1,119,847.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.