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Finding the Third Proportional to 352,564 and 537,112

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Solution

The third proportional to 352,564 and 537,112 is: 818,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,564 : 537,112 = 537,112 : x
  2. Step 2: Convert to fraction form
    352,564/537,112 = 537,112/x
  3. Step 3: Cross multiply
    352,564x = 537,112 × 537,112
  4. Step 4: Simplify right side
    352,564x = 288,489,300,544
  5. Step 5: Solve for x
    x = 288,489,300,544/352,564
  6. Step 6: Final answer
    x = 818,260.80

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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.