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Finding the Third Proportional to 454,169 and 672,460

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Solution

The third proportional to 454,169 and 672,460 is: 995,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,169 : 672,460 = 672,460 : x
  2. Step 2: Convert to fraction form
    454,169/672,460 = 672,460/x
  3. Step 3: Cross multiply
    454,169x = 672,460 × 672,460
  4. Step 4: Simplify right side
    454,169x = 452,202,451,600
  5. Step 5: Solve for x
    x = 452,202,451,600/454,169
  6. Step 6: Final answer
    x = 995,670.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.