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Finding the Third Proportional to 333,054 and 451,466

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Solution

The third proportional to 333,054 and 451,466 is: 611,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,054 : 451,466 = 451,466 : x
  2. Step 2: Convert to fraction form
    333,054/451,466 = 451,466/x
  3. Step 3: Cross multiply
    333,054x = 451,466 × 451,466
  4. Step 4: Simplify right side
    333,054x = 203,821,549,156
  5. Step 5: Solve for x
    x = 203,821,549,156/333,054
  6. Step 6: Final answer
    x = 611,977.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.