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Finding the Third Proportional to 327,818 and 708,124

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Solution

The third proportional to 327,818 and 708,124 is: 1,529,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,818 : 708,124 = 708,124 : x
  2. Step 2: Convert to fraction form
    327,818/708,124 = 708,124/x
  3. Step 3: Cross multiply
    327,818x = 708,124 × 708,124
  4. Step 4: Simplify right side
    327,818x = 501,439,599,376
  5. Step 5: Solve for x
    x = 501,439,599,376/327,818
  6. Step 6: Final answer
    x = 1,529,628.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.