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Finding the Third Proportional to 515,194 and 788,089

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Solution

The third proportional to 515,194 and 788,089 is: 1,205,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,194 : 788,089 = 788,089 : x
  2. Step 2: Convert to fraction form
    515,194/788,089 = 788,089/x
  3. Step 3: Cross multiply
    515,194x = 788,089 × 788,089
  4. Step 4: Simplify right side
    515,194x = 621,084,271,921
  5. Step 5: Solve for x
    x = 621,084,271,921/515,194
  6. Step 6: Final answer
    x = 1,205,534.75

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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.