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Finding the Third Proportional to 515,186 and 788,120

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Solution

The third proportional to 515,186 and 788,120 is: 1,205,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,186 : 788,120 = 788,120 : x
  2. Step 2: Convert to fraction form
    515,186/788,120 = 788,120/x
  3. Step 3: Cross multiply
    515,186x = 788,120 × 788,120
  4. Step 4: Simplify right side
    515,186x = 621,133,134,400
  5. Step 5: Solve for x
    x = 621,133,134,400/515,186
  6. Step 6: Final answer
    x = 1,205,648.32

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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.