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Finding the Third Proportional to 515,186 and 788,077

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Solution

The third proportional to 515,186 and 788,077 is: 1,205,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,186 : 788,077 = 788,077 : x
  2. Step 2: Convert to fraction form
    515,186/788,077 = 788,077/x
  3. Step 3: Cross multiply
    515,186x = 788,077 × 788,077
  4. Step 4: Simplify right side
    515,186x = 621,065,357,929
  5. Step 5: Solve for x
    x = 621,065,357,929/515,186
  6. Step 6: Final answer
    x = 1,205,516.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.