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Finding the Third Proportional to 272,352 and 399,372

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Solution

The third proportional to 272,352 and 399,372 is: 585,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,352 : 399,372 = 399,372 : x
  2. Step 2: Convert to fraction form
    272,352/399,372 = 399,372/x
  3. Step 3: Cross multiply
    272,352x = 399,372 × 399,372
  4. Step 4: Simplify right side
    272,352x = 159,497,994,384
  5. Step 5: Solve for x
    x = 159,497,994,384/272,352
  6. Step 6: Final answer
    x = 585,631.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.