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Finding the Third Proportional to 355,025 and 772,744

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Solution

The third proportional to 355,025 and 772,744 is: 1,681,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,025 : 772,744 = 772,744 : x
  2. Step 2: Convert to fraction form
    355,025/772,744 = 772,744/x
  3. Step 3: Cross multiply
    355,025x = 772,744 × 772,744
  4. Step 4: Simplify right side
    355,025x = 597,133,289,536
  5. Step 5: Solve for x
    x = 597,133,289,536/355,025
  6. Step 6: Final answer
    x = 1,681,947.16

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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.