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Finding the Third Proportional to 503,107.50 and 747,813.75

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Solution

The third proportional to 503,107.50 and 747,813.75 is: 1,111,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,107.50 : 747,813.75 = 747,813.75 : x
  2. Step 2: Convert to fraction form
    503,107.50/747,813.75 = 747,813.75/x
  3. Step 3: Cross multiply
    503,107.50x = 747,813.75 × 747,813.75
  4. Step 4: Simplify right side
    503,107.50x = 559,225,404,689.06
  5. Step 5: Solve for x
    x = 559,225,404,689.06/503,107.50
  6. Step 6: Final answer
    x = 1,111,542.57

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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.