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Finding the Third Proportional to 493,258 and 738,535

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Solution

The third proportional to 493,258 and 738,535 is: 1,105,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,258 : 738,535 = 738,535 : x
  2. Step 2: Convert to fraction form
    493,258/738,535 = 738,535/x
  3. Step 3: Cross multiply
    493,258x = 738,535 × 738,535
  4. Step 4: Simplify right side
    493,258x = 545,433,946,225
  5. Step 5: Solve for x
    x = 545,433,946,225/493,258
  6. Step 6: Final answer
    x = 1,105,778.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.