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Finding the Third Proportional to 601,435 and 794,989

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Solution

The third proportional to 601,435 and 794,989 is: 1,050,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,435 : 794,989 = 794,989 : x
  2. Step 2: Convert to fraction form
    601,435/794,989 = 794,989/x
  3. Step 3: Cross multiply
    601,435x = 794,989 × 794,989
  4. Step 4: Simplify right side
    601,435x = 632,007,510,121
  5. Step 5: Solve for x
    x = 632,007,510,121/601,435
  6. Step 6: Final answer
    x = 1,050,832.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.