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Finding the Third Proportional to 272,330 and 399,339

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Solution

The third proportional to 272,330 and 399,339 is: 585,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,330 : 399,339 = 399,339 : x
  2. Step 2: Convert to fraction form
    272,330/399,339 = 399,339/x
  3. Step 3: Cross multiply
    272,330x = 399,339 × 399,339
  4. Step 4: Simplify right side
    272,330x = 159,471,636,921
  5. Step 5: Solve for x
    x = 159,471,636,921/272,330
  6. Step 6: Final answer
    x = 585,582.33

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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.