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Finding the Third Proportional to 352,569 and 537,120

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Solution

The third proportional to 352,569 and 537,120 is: 818,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,569 : 537,120 = 537,120 : x
  2. Step 2: Convert to fraction form
    352,569/537,120 = 537,120/x
  3. Step 3: Cross multiply
    352,569x = 537,120 × 537,120
  4. Step 4: Simplify right side
    352,569x = 288,497,894,400
  5. Step 5: Solve for x
    x = 288,497,894,400/352,569
  6. Step 6: Final answer
    x = 818,273.57

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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.