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Finding the Third Proportional to 327,786 and 708,060

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Solution

The third proportional to 327,786 and 708,060 is: 1,529,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,786 : 708,060 = 708,060 : x
  2. Step 2: Convert to fraction form
    327,786/708,060 = 708,060/x
  3. Step 3: Cross multiply
    327,786x = 708,060 × 708,060
  4. Step 4: Simplify right side
    327,786x = 501,348,963,600
  5. Step 5: Solve for x
    x = 501,348,963,600/327,786
  6. Step 6: Final answer
    x = 1,529,500.84

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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.