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Finding the Third Proportional to 232,956 and 499,113

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Solution

The third proportional to 232,956 and 499,113 is: 1,069,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,956 : 499,113 = 499,113 : x
  2. Step 2: Convert to fraction form
    232,956/499,113 = 499,113/x
  3. Step 3: Cross multiply
    232,956x = 499,113 × 499,113
  4. Step 4: Simplify right side
    232,956x = 249,113,786,769
  5. Step 5: Solve for x
    x = 249,113,786,769/232,956
  6. Step 6: Final answer
    x = 1,069,359.82

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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.