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Finding the Third Proportional to 417,120 and 597,744

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Solution

The third proportional to 417,120 and 597,744 is: 856,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,120 : 597,744 = 597,744 : x
  2. Step 2: Convert to fraction form
    417,120/597,744 = 597,744/x
  3. Step 3: Cross multiply
    417,120x = 597,744 × 597,744
  4. Step 4: Simplify right side
    417,120x = 357,297,889,536
  5. Step 5: Solve for x
    x = 357,297,889,536/417,120
  6. Step 6: Final answer
    x = 856,582.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.