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Finding the Third Proportional to 352,564.50 and 537,114

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Solution

The third proportional to 352,564.50 and 537,114 is: 818,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,564.50 : 537,114 = 537,114 : x
  2. Step 2: Convert to fraction form
    352,564.50/537,114 = 537,114/x
  3. Step 3: Cross multiply
    352,564.50x = 537,114 × 537,114
  4. Step 4: Simplify right side
    352,564.50x = 288,491,448,996
  5. Step 5: Solve for x
    x = 288,491,448,996/352,564.50
  6. Step 6: Final answer
    x = 818,265.73

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Why These Related Problems?

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