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Finding the Third Proportional to 361,703 and 812,362

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Solution

The third proportional to 361,703 and 812,362 is: 1,824,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,703 : 812,362 = 812,362 : x
  2. Step 2: Convert to fraction form
    361,703/812,362 = 812,362/x
  3. Step 3: Cross multiply
    361,703x = 812,362 × 812,362
  4. Step 4: Simplify right side
    361,703x = 659,932,019,044
  5. Step 5: Solve for x
    x = 659,932,019,044/361,703
  6. Step 6: Final answer
    x = 1,824,513.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.