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Finding the Third Proportional to 245,850 and 379,692

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Solution

The third proportional to 245,850 and 379,692 is: 586,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,850 : 379,692 = 379,692 : x
  2. Step 2: Convert to fraction form
    245,850/379,692 = 379,692/x
  3. Step 3: Cross multiply
    245,850x = 379,692 × 379,692
  4. Step 4: Simplify right side
    245,850x = 144,166,014,864
  5. Step 5: Solve for x
    x = 144,166,014,864/245,850
  6. Step 6: Final answer
    x = 586,398.27

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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.