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Finding the Third Proportional to 232,829 and 498,871

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Solution

The third proportional to 232,829 and 498,871 is: 1,068,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,829 : 498,871 = 498,871 : x
  2. Step 2: Convert to fraction form
    232,829/498,871 = 498,871/x
  3. Step 3: Cross multiply
    232,829x = 498,871 × 498,871
  4. Step 4: Simplify right side
    232,829x = 248,872,274,641
  5. Step 5: Solve for x
    x = 248,872,274,641/232,829
  6. Step 6: Final answer
    x = 1,068,905.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.