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Finding the Third Proportional to 303,266 and 660,352

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Solution

The third proportional to 303,266 and 660,352 is: 1,437,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,266 : 660,352 = 660,352 : x
  2. Step 2: Convert to fraction form
    303,266/660,352 = 660,352/x
  3. Step 3: Cross multiply
    303,266x = 660,352 × 660,352
  4. Step 4: Simplify right side
    303,266x = 436,064,763,904
  5. Step 5: Solve for x
    x = 436,064,763,904/303,266
  6. Step 6: Final answer
    x = 1,437,895.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.