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Finding the Third Proportional to 252,152 and 537,680

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Solution

The third proportional to 252,152 and 537,680 is: 1,146,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,152 : 537,680 = 537,680 : x
  2. Step 2: Convert to fraction form
    252,152/537,680 = 537,680/x
  3. Step 3: Cross multiply
    252,152x = 537,680 × 537,680
  4. Step 4: Simplify right side
    252,152x = 289,099,782,400
  5. Step 5: Solve for x
    x = 289,099,782,400/252,152
  6. Step 6: Final answer
    x = 1,146,529.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.