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Finding the Third Proportional to 601,582.50 and 875,286.56

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Solution

The third proportional to 601,582.50 and 875,286.56 is: 1,273,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,582.50 : 875,286.56 = 875,286.56 : x
  2. Step 2: Convert to fraction form
    601,582.50/875,286.56 = 875,286.56/x
  3. Step 3: Cross multiply
    601,582.50x = 875,286.56 × 875,286.56
  4. Step 4: Simplify right side
    601,582.50x = 766,126,566,493.07
  5. Step 5: Solve for x
    x = 766,126,566,493.07/601,582.50
  6. Step 6: Final answer
    x = 1,273,518.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.