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Finding the Third Proportional to 308,226.52 and 483,638.34

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Solution

The third proportional to 308,226.52 and 483,638.34 is: 758,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,226.52 : 483,638.34 = 483,638.34 : x
  2. Step 2: Convert to fraction form
    308,226.52/483,638.34 = 483,638.34/x
  3. Step 3: Cross multiply
    308,226.52x = 483,638.34 × 483,638.34
  4. Step 4: Simplify right side
    308,226.52x = 233,906,047,545.24
  5. Step 5: Solve for x
    x = 233,906,047,545.24/308,226.52
  6. Step 6: Final answer
    x = 758,877.11

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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.