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Finding the Third Proportional to 272,025 and 382,392

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Solution

The third proportional to 272,025 and 382,392 is: 537,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,025 : 382,392 = 382,392 : x
  2. Step 2: Convert to fraction form
    272,025/382,392 = 382,392/x
  3. Step 3: Cross multiply
    272,025x = 382,392 × 382,392
  4. Step 4: Simplify right side
    272,025x = 146,223,641,664
  5. Step 5: Solve for x
    x = 146,223,641,664/272,025
  6. Step 6: Final answer
    x = 537,537.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.