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Finding the Third Proportional to 272,349 and 433,260

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Solution

The third proportional to 272,349 and 433,260 is: 689,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,349 : 433,260 = 433,260 : x
  2. Step 2: Convert to fraction form
    272,349/433,260 = 433,260/x
  3. Step 3: Cross multiply
    272,349x = 433,260 × 433,260
  4. Step 4: Simplify right side
    272,349x = 187,714,227,600
  5. Step 5: Solve for x
    x = 187,714,227,600/272,349
  6. Step 6: Final answer
    x = 689,241.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.