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Finding the Third Proportional to 506,405.25 and 783,868.50

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Solution

The third proportional to 506,405.25 and 783,868.50 is: 1,213,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,405.25 : 783,868.50 = 783,868.50 : x
  2. Step 2: Convert to fraction form
    506,405.25/783,868.50 = 783,868.50/x
  3. Step 3: Cross multiply
    506,405.25x = 783,868.50 × 783,868.50
  4. Step 4: Simplify right side
    506,405.25x = 614,449,825,292.25
  5. Step 5: Solve for x
    x = 614,449,825,292.25/506,405.25
  6. Step 6: Final answer
    x = 1,213,355.95

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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.