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Finding the Third Proportional to 254,187 and 501,994.50

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Solution

The third proportional to 254,187 and 501,994.50 is: 991,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,187 : 501,994.50 = 501,994.50 : x
  2. Step 2: Convert to fraction form
    254,187/501,994.50 = 501,994.50/x
  3. Step 3: Cross multiply
    254,187x = 501,994.50 × 501,994.50
  4. Step 4: Simplify right side
    254,187x = 251,998,478,030.25
  5. Step 5: Solve for x
    x = 251,998,478,030.25/254,187
  6. Step 6: Final answer
    x = 991,390.11

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.