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Finding the Third Proportional to 498,500 and 753,696

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Solution

The third proportional to 498,500 and 753,696 is: 1,139,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,500 : 753,696 = 753,696 : x
  2. Step 2: Convert to fraction form
    498,500/753,696 = 753,696/x
  3. Step 3: Cross multiply
    498,500x = 753,696 × 753,696
  4. Step 4: Simplify right side
    498,500x = 568,057,660,416
  5. Step 5: Solve for x
    x = 568,057,660,416/498,500
  6. Step 6: Final answer
    x = 1,139,533.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.