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Finding the Third Proportional to 232,271 and 508,829

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Solution

The third proportional to 232,271 and 508,829 is: 1,114,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,271 : 508,829 = 508,829 : x
  2. Step 2: Convert to fraction form
    232,271/508,829 = 508,829/x
  3. Step 3: Cross multiply
    232,271x = 508,829 × 508,829
  4. Step 4: Simplify right side
    232,271x = 258,906,951,241
  5. Step 5: Solve for x
    x = 258,906,951,241/232,271
  6. Step 6: Final answer
    x = 1,114,676.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.