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Finding the Third Proportional to 352,625.50 and 537,201

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Solution

The third proportional to 352,625.50 and 537,201 is: 818,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,625.50 : 537,201 = 537,201 : x
  2. Step 2: Convert to fraction form
    352,625.50/537,201 = 537,201/x
  3. Step 3: Cross multiply
    352,625.50x = 537,201 × 537,201
  4. Step 4: Simplify right side
    352,625.50x = 288,584,914,401
  5. Step 5: Solve for x
    x = 288,584,914,401/352,625.50
  6. Step 6: Final answer
    x = 818,389.24

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.