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Finding the Third Proportional to 272,600 and 586,672

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Solution

The third proportional to 272,600 and 586,672 is: 1,262,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,600 : 586,672 = 586,672 : x
  2. Step 2: Convert to fraction form
    272,600/586,672 = 586,672/x
  3. Step 3: Cross multiply
    272,600x = 586,672 × 586,672
  4. Step 4: Simplify right side
    272,600x = 344,184,035,584
  5. Step 5: Solve for x
    x = 344,184,035,584/272,600
  6. Step 6: Final answer
    x = 1,262,597.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.