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Finding the Third Proportional to 352,638 and 537,214.50

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Solution

The third proportional to 352,638 and 537,214.50 is: 818,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,638 : 537,214.50 = 537,214.50 : x
  2. Step 2: Convert to fraction form
    352,638/537,214.50 = 537,214.50/x
  3. Step 3: Cross multiply
    352,638x = 537,214.50 × 537,214.50
  4. Step 4: Simplify right side
    352,638x = 288,599,419,010.25
  5. Step 5: Solve for x
    x = 288,599,419,010.25/352,638
  6. Step 6: Final answer
    x = 818,401.36

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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.