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Finding the Third Proportional to 252,108 and 537,588

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Solution

The third proportional to 252,108 and 537,588 is: 1,146,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,108 : 537,588 = 537,588 : x
  2. Step 2: Convert to fraction form
    252,108/537,588 = 537,588/x
  3. Step 3: Cross multiply
    252,108x = 537,588 × 537,588
  4. Step 4: Simplify right side
    252,108x = 289,000,857,744
  5. Step 5: Solve for x
    x = 289,000,857,744/252,108
  6. Step 6: Final answer
    x = 1,146,337.51

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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.