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Finding the Third Proportional to 515,196 and 788,092

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Solution

The third proportional to 515,196 and 788,092 is: 1,205,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,196 : 788,092 = 788,092 : x
  2. Step 2: Convert to fraction form
    515,196/788,092 = 788,092/x
  3. Step 3: Cross multiply
    515,196x = 788,092 × 788,092
  4. Step 4: Simplify right side
    515,196x = 621,089,000,464
  5. Step 5: Solve for x
    x = 621,089,000,464/515,196
  6. Step 6: Final answer
    x = 1,205,539.25

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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.