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Finding the Third Proportional to 308,423 and 483,935

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Solution

The third proportional to 308,423 and 483,935 is: 759,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,423 : 483,935 = 483,935 : x
  2. Step 2: Convert to fraction form
    308,423/483,935 = 483,935/x
  3. Step 3: Cross multiply
    308,423x = 483,935 × 483,935
  4. Step 4: Simplify right side
    308,423x = 234,193,084,225
  5. Step 5: Solve for x
    x = 234,193,084,225/308,423
  6. Step 6: Final answer
    x = 759,324.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.