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Finding the Third Proportional to 361,638.50 and 787,567.50

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Solution

The third proportional to 361,638.50 and 787,567.50 is: 1,715,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,638.50 : 787,567.50 = 787,567.50 : x
  2. Step 2: Convert to fraction form
    361,638.50/787,567.50 = 787,567.50/x
  3. Step 3: Cross multiply
    361,638.50x = 787,567.50 × 787,567.50
  4. Step 4: Simplify right side
    361,638.50x = 620,262,567,056.25
  5. Step 5: Solve for x
    x = 620,262,567,056.25/361,638.50
  6. Step 6: Final answer
    x = 1,715,145.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.