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Finding the Third Proportional to 505,807.50 and 762,052.50

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Solution

The third proportional to 505,807.50 and 762,052.50 is: 1,148,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,807.50 : 762,052.50 = 762,052.50 : x
  2. Step 2: Convert to fraction form
    505,807.50/762,052.50 = 762,052.50/x
  3. Step 3: Cross multiply
    505,807.50x = 762,052.50 × 762,052.50
  4. Step 4: Simplify right side
    505,807.50x = 580,724,012,756.25
  5. Step 5: Solve for x
    x = 580,724,012,756.25/505,807.50
  6. Step 6: Final answer
    x = 1,148,112.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.