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Finding the Third Proportional to 397,035 and 865,458

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Solution

The third proportional to 397,035 and 865,458 is: 1,886,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,035 : 865,458 = 865,458 : x
  2. Step 2: Convert to fraction form
    397,035/865,458 = 865,458/x
  3. Step 3: Cross multiply
    397,035x = 865,458 × 865,458
  4. Step 4: Simplify right side
    397,035x = 749,017,549,764
  5. Step 5: Solve for x
    x = 749,017,549,764/397,035
  6. Step 6: Final answer
    x = 1,886,527.76

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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.