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Finding the Third Proportional to 503,102.25 and 747,807.75

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Solution

The third proportional to 503,102.25 and 747,807.75 is: 1,111,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,102.25 : 747,807.75 = 747,807.75 : x
  2. Step 2: Convert to fraction form
    503,102.25/747,807.75 = 747,807.75/x
  3. Step 3: Cross multiply
    503,102.25x = 747,807.75 × 747,807.75
  4. Step 4: Simplify right side
    503,102.25x = 559,216,430,960.06
  5. Step 5: Solve for x
    x = 559,216,430,960.06/503,102.25
  6. Step 6: Final answer
    x = 1,111,536.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.