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Finding the Third Proportional to 352,564 and 537,105

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Solution

The third proportional to 352,564 and 537,105 is: 818,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,564 : 537,105 = 537,105 : x
  2. Step 2: Convert to fraction form
    352,564/537,105 = 537,105/x
  3. Step 3: Cross multiply
    352,564x = 537,105 × 537,105
  4. Step 4: Simplify right side
    352,564x = 288,481,781,025
  5. Step 5: Solve for x
    x = 288,481,781,025/352,564
  6. Step 6: Final answer
    x = 818,239.47

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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.