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Finding the Third Proportional to 327,780 and 708,048

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Solution

The third proportional to 327,780 and 708,048 is: 1,529,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,780 : 708,048 = 708,048 : x
  2. Step 2: Convert to fraction form
    327,780/708,048 = 708,048/x
  3. Step 3: Cross multiply
    327,780x = 708,048 × 708,048
  4. Step 4: Simplify right side
    327,780x = 501,331,970,304
  5. Step 5: Solve for x
    x = 501,331,970,304/327,780
  6. Step 6: Final answer
    x = 1,529,477.00

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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.