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Finding the Third Proportional to 264,582.75 and 397,470

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Solution

The third proportional to 264,582.75 and 397,470 is: 597,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,582.75 : 397,470 = 397,470 : x
  2. Step 2: Convert to fraction form
    264,582.75/397,470 = 397,470/x
  3. Step 3: Cross multiply
    264,582.75x = 397,470 × 397,470
  4. Step 4: Simplify right side
    264,582.75x = 157,982,400,900
  5. Step 5: Solve for x
    x = 157,982,400,900/264,582.75
  6. Step 6: Final answer
    x = 597,100.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.