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Finding the Third Proportional to 233,782 and 498,654

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Solution

The third proportional to 233,782 and 498,654 is: 1,063,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,782 : 498,654 = 498,654 : x
  2. Step 2: Convert to fraction form
    233,782/498,654 = 498,654/x
  3. Step 3: Cross multiply
    233,782x = 498,654 × 498,654
  4. Step 4: Simplify right side
    233,782x = 248,655,811,716
  5. Step 5: Solve for x
    x = 248,655,811,716/233,782
  6. Step 6: Final answer
    x = 1,063,622.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.