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Finding the Third Proportional to 503,847 and 780,109.50

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Solution

The third proportional to 503,847 and 780,109.50 is: 1,207,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847 : 780,109.50 = 780,109.50 : x
  2. Step 2: Convert to fraction form
    503,847/780,109.50 = 780,109.50/x
  3. Step 3: Cross multiply
    503,847x = 780,109.50 × 780,109.50
  4. Step 4: Simplify right side
    503,847x = 608,570,831,990.25
  5. Step 5: Solve for x
    x = 608,570,831,990.25/503,847
  6. Step 6: Final answer
    x = 1,207,848.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.