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Finding the Third Proportional to 272,988 and 421,146

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Solution

The third proportional to 272,988 and 421,146 is: 649,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,988 : 421,146 = 421,146 : x
  2. Step 2: Convert to fraction form
    272,988/421,146 = 421,146/x
  3. Step 3: Cross multiply
    272,988x = 421,146 × 421,146
  4. Step 4: Simplify right side
    272,988x = 177,363,953,316
  5. Step 5: Solve for x
    x = 177,363,953,316/272,988
  6. Step 6: Final answer
    x = 649,713.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.