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Finding the Third Proportional to 333,689.63 and 787,367.25

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Solution

The third proportional to 333,689.63 and 787,367.25 is: 1,857,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,689.63 : 787,367.25 = 787,367.25 : x
  2. Step 2: Convert to fraction form
    333,689.63/787,367.25 = 787,367.25/x
  3. Step 3: Cross multiply
    333,689.63x = 787,367.25 × 787,367.25
  4. Step 4: Simplify right side
    333,689.63x = 619,947,186,372.56
  5. Step 5: Solve for x
    x = 619,947,186,372.56/333,689.63
  6. Step 6: Final answer
    x = 1,857,855.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.