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Finding the Third Proportional to 479,784 and 717,036

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Solution

The third proportional to 479,784 and 717,036 is: 1,071,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,784 : 717,036 = 717,036 : x
  2. Step 2: Convert to fraction form
    479,784/717,036 = 717,036/x
  3. Step 3: Cross multiply
    479,784x = 717,036 × 717,036
  4. Step 4: Simplify right side
    479,784x = 514,140,625,296
  5. Step 5: Solve for x
    x = 514,140,625,296/479,784
  6. Step 6: Final answer
    x = 1,071,608.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.